PUBLlCATIONS


Journals

M.D.Todorov	1986	On the Minimization of the Resistance in Separated Inviscid Flows	Ann. de l’Univ.Sofia Math.Mec., Livre 2 - Mecanique, 80, 177-181 (in Russian)
C.I.Christov, and M.D.Todorov	1987	An Inviscid Model of Flow Separation around Blunt Bodies	Compt. Rend.Acad.Bulg.Sci.,  7 43-46
M.D.Todorov, and C.I.Christov	1988	An Application of Inviscid Separation Model for Investigation of Flows around Airfoils	Ann. de l’Univ. Sofia, Fac. Math.Inf., Livre 2 - Mecanique, 82, 193-217  (in Russian)
S.G.Stoyanov, C.I.Christov, and M.D.Todorov	1997	Two-Dimensional Model of Convective Cloud. Part I: Governing Equations	Bulg.Geophys.Journal, XVIII(3-4), 15-23
S.G.Stoyanov, M.D.Todorov, and C.I.Christov	1998	Two-Dimensional Model of Convective Cloud. Part II: Microphysics	Bulg.Geophys.Journal, XIV(1-2), 43-54
T.L.Boyadjiev, and M.D.Todorov	2000	Numerical Investigation of a Bifurcation Problem with Free Boundaries Arising from the Physics of Josephson Junctions	Math. Modeling(Russian Academy of Sciences), 12(4), 62-71  (see also E-print cond-mat/9809297)
P.P.Fiziev, S.S.Yazadjiev, T.L.Boyadjiev, and M.D.Todorov	2000	Boson Stars in Massive Dilatonic Gravity	Phys.Rev. D61, 124018-1,  (see also E-print gr-qc/0001103)
S.S.Yazadjiev, T.L.Boyadjiev, M.D.Todorov, and P.P.Fiziev	2000	A Free Boundary Problem in the Theory of the Stars	Bulg.J.of Physics, 27(3), 66-69  Proc.4th General Conference of the Balkan Physical Union, Veliko Turnovo, Bulgaria, August 22-25, 2000 (see also E-print astro-ph/0012496)
T.L.Boyadjiev M.D.Todorov, P.P.Fiziev and S.S.Yazadjiev	2001	Mathematical Modeling of Boson-Fermion Stars in  the Generalized Scalar-Tensor Theory of Gravity	J.Comput.Physics, 166(2), 253-270  (see also E-print math.NA/9911118)
S.S.Yazadjiev, P.P.Fiziev, T.L.Boyadjiev, and M.D.Todorov	2001	Electrically Charged Einstein-Born-Infeld Black Holes with Massive Dilaton	Modern Physics Letters A,  16( 33)  (October 2001) 2143-2149, Communication of  the JINR-Dubna E2-2001-221 (see also E-print hep-th/0105165)
T.L.Boyadjiev, and M.D.Todorov	2002	Minimal Length of Josephson Junctions with Stable Fluxon Bound    States	Superconductor Science and Technology 15(1) (January 2002) 1-7  (see also E-print cond-mat/0012468)
T.L.Boyadjiev, M.D.Todorov, P.P.Fiziev, and S.S.Yazadjiev	2002	A Numerical Algorithm for Modeling of Boson-Fermion Stars in  Dilatonic Gravity	J.Comp.Appl.Math., 145(1), 113-131, Communication of  the JINR-Dubna E11-2002-106 (see also E-print math.NA/0004108)
T.L.Boyadjiev, M.D.Todorov, P.P.Fiziev, and S.S.Yazadjiev	2002	Numerical Modeling of Boson- Fermion Stars  in  Dilatonic Gravity	J. Comp. Methods in Sci. and Eng. , 2(1-2), 245-252
Y.Kyosev, and M.D.Todorov	2007	Computational Model of 1D Continuum Motion. Case of Textile Yarn Unwinding without Air Resistance	In T.Boyanov et al.(Eds.), Proc. NMA 2006, Lecture Notes on Computer Science, Springer 4310, 637-645
M.D.Todorov, and C.I.Christov	2007	Conservative Numerical Scheme in Complex Arithmetic for Coupled  Nonlinear Schrodinger Equations	Discrete and Continuous Dynamical Systems, Supplement 2007 devoted to the 6th international AIMS conference on Dynamical Systems and Differential Equations, June 25-28, 2006, Poitiers, France, pp. 982-992
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2007	Scalar-Tensor Black Holes Coupled to Born-Infeld Nonlinear Electrodynamics	Phys.Rev. D75, 084036 -1(see also E-print gr-qc/0704.3784)
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2007	Scalar-Tensor Black Holes Coupled to Euler-Heisenberg Nonlinear Electrodynamics'	Modern Physics Letters A22(17), (June 2007), 1217-1232 (see also E-print gr-qc/0708.3203)
I.G.Koprinkov, M.D.Todorov, M.E.Todorova, and T.P.Todorov	2007	Self-Compression of High-Intensity Femtosecond Laser Pulses in Low Dispersion Regime	Journal of Physics B: Atomic, Molecular & Optical Physics 40, (August 2007), F231-F236 (see also E-print physics/0701306 )
P.A.Velmisov, A.V.Krupennikov, and M.D.Todorov	2007	Some Classes of Solutions of Gas Dynamic Equations	ROMAI Journal, 3(2), 267–276
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2008	Phases of 4D Scalar-Tensor Black Holes Coupled to Born-Infeld Nonlinear Electrodynamics	Modern Physics Letters A23(34) (November 2008), 2915-2931 (see also E-print gr-qc/0708.4141)
M.D.Todorov, I.G.Koprinkov, M.E.Todorova, and T.P.Todorov	2008	Self-Compression and Controllable Guidance of Multi-Millijoule Femtosecond Laser Pulses	Optics Communications 281(20), (15 October 2008), 5249-5256 (see also E-print physics/0709.3187)
R.D.Djulgerova, V.I.Mihajlov, M.D.Todorov, J.Koperski, M.Ruszczak, T.Dohnalik, and Z.Lj. Petrovic	2009	Restoration of the Pure Dynamic Optogalvanic Signals in Ne Hollow Cathode Discharge	IEEE Transactions on Plasma Science 37(1), (January 2009), 159-163
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2009	Stability of Charged Scalar-Tensor Black Holes Coupled to Born-Infeld Nonlinear Electrodynamics	Classical and Quantum Gravity 26 015006(10pp)
M.D.Todorov, and C.I.Christov	2009	Collision Dynamics of Circularly Polarized Solitons in Nonintegrable Coupled Nonlinear Schrodinger System	Discrete and Continuous Dynamical Systems, Supplement 2009 devoted to the 7th international AIMS conference on Dynamical Systems and Differential Equations, May 18-21, 2008, Arlington, TX, USA, pp. 780-789
M.D.Todorov, and C.I.Christov	2009	Impact of the Large Cross-Modulation Parameter on the Collision Dynamics of Quasi-Particles Governed by Vector NLSE	Mathematics and Computers in Simulation 80, 46-55, doi:10.1016/j.matcom.2009.06.020
D.Doneva, S.S.Yazadjiev, K.D.Kokkotas, I.Zh.Stefanov, and M.D.Todorov	2010	Charged Anti-de Sitter Scalar-Tensor Black Holes and Their Thermodynamic Phase Structure	Phys.Rev. D81, 104030-1 (see also E-print gr-qc/1001.3569v1)
Jianzhong Su, M.D. Todorov, H.P.Gonzales, L.Perkins, H.Kojouharov, Hong Weng, and Liping Tang	2011	A Predictive Tool for Foreign Body Fibrotic Reactions Using 2-Dimensional Computational Model	Open Access Bioinformatics 3, 19-35, doi: 10.2147/OAB.S14254 (January 18th 2011)
Jianzhong Su, H.P.Gonzales, M.D.Todorov, H.Kojouharov, and Liping Tang	2011	A Mathematical Model for Foreign Body Reactions in 2D	International Journal of Computer Mathematics, 88(3), 610-633 doi: 10.1080/00207161003640035 (February 2011)
M.D. Todorov	2011	Polarization Dynamics during Takeover Collisions of Solitons in Systems of CNSEs	Discrete and Continuous Dynamical Systems, Supplement 2011 devoted to the 8th international AIMS conference on Dynamical Systems and Differential Equations, May 25-28, 2010, Dresden, Germany, pp. 1385-1394
D.A.Georgieva, I.Zh.Stefanov, S.S.Yazadjiev, M.D.Todorov	2011	Born-Infeld Black Holes Coupled to a Massive Scalar Field	International Journal of Modern Physics D 20(3), 2471-2496, doi: 10.1142/S0218271811020469 (December 23rd 2011) (see also E-print gr-qc/0909.0196 )
M.D.Todorov, and C.I.Christov	2012	Collision Dynamics of Elliptically Polarized Solitons in Coupled Nonlinear Schrodinger Equations	Mathematics and Computers in Simulation 82, 1221-1232, doi: 10.1016/j.matcom.2010.04.022
M.D.Todorov	2012	In Memoriam – Prof. Christo I. Christov	Journal of Theoretical and Applied Mechanics 42(2), 93-98
E.Semerdjieva, and M.D.Todorov	2012	Fluxon Centering in Josephson Junctions with Exponentially Varying Width	East Asia Journal on Applied Mathematics 2(3), 204-213, doi: 10.4208/eajam.230512.010712a, Published Online: 23 August 2012
C.I.Christov, and M.D.Todorov	2013	Investigation of the Long-Time Evolution of Localized Solutions of a Dispersive Wave System	Discrete and Continuous Dynamical Systems, Supplement 2013 devoted to the 9th international AIMS conference on Dynamical Systems and Differential Equations, June 30-July 5, 2012, Orlando, FL, USA, pp. 139-148
E.Semerdjieva, and M.D.Todorov	2013	Numerical Investigation of Bifurcations and Transitions of Josephson vortices in Inhomogeneous Junctions	International Journal of Bifurcation and Chaos, 23(12), 1350192 (12 pages), doi: 1142/S0218127413501927
I.Zh.Stefanov, D. Doneva, S.S.Yazadjiev, K.D.Kokkotas, and M.D.Todorov	2013	Thermodynamic Phase Structure of Charged anti-de Sitter Scalar-Tensor Black Holes	Journal of Physics: Conference Series 453, 012017, doi:10.1088/1742-6596/453/1/012017, NEB 15 – Recent Developments in Gravity, IOP Publishing
M.D. Todorov	2013	Finite-Difference Implementation of Conserved Properties of Vector NLSE	Journal of Geometry and Symmetry in Physics 32, 51-60, doi: 10.7546/jgsp-32-2013-51-60, ISSN 1312-5192
A.O.Antonova, S. Reznik, and M.D.Todorov	2013	Relaxation Oscillations Properties in Goodwin’s Business Cycle Model	International Journal of Computational Economics and Econometrics 3(3/4), 146-163, doi: 10.1504/IJCEE.2013.058495
T.P.Todorov, M.E.Todorova, M.D.Todorov, and I.G.Koprinkov	2014	On the Stable Propagation of High-Intensity Ultrashort Laser Pulses	Optics Communications 323, 128-133, doi: 10.1016/j.optcom.2014.03.003
D.Shopova and M.D.Todorov	2015	Phenomenological Description of Anisotropy Effects in Some Ferromagnetic Superconductors	Physics Letters A 379, 1391-1396, doi: 10.1016/j.physleta.2015.02.045 (see also arXiv:1411.1748 [cond-mat.supr-con])
V.S. Gerdjikov, A.V. Kyuldjiev and M.D. Todorov	2015	Manakov Solitons and Effects of External Potential Wells	Discrete and Continuous Dynamical Systems, Supplement 2015, devoted to the 10th international AIMS conference on Dynamical Systems and Differential Equations, July 7-11, 2014, Madrid, Spain, pp. 505-514, doi: 10.3934/proc.2015.0505
M.D. Todorov, V.S. Gerdjikov and A.V. Kyuldjiev	2015	Multisoliton Interactions for the Manakov System under Composite External Potentials	Proceedings of the Estonian Academy of Sciences 64, 3S, 368-378, doi: 10.3176/proc.2015.3S.07
V.S. Gerdjikov, M.D. Todorov, and A.V. Kyuldjiev	2016	Asymptotic Behavior of Manakov Solitons: Effects of Potential Wells and Humps	Mathematics and Computers in Simulation 121, 166-178, doi: 10.1016/j.matcom.2015.10.004 (see also arXiv:1408.0230v2 [math-ph])
M.D.Todorov	2016	The Effect of the Elliptic Polarization on the Quasi-Particle Dynamics of Linearly Coupled Systems of Nonlinear Schroedinger Equations	Mathematics and Computers in Simulation 127, 273-286, doi: 10.1016/j.matcom.2014.04.11 (see also arXiv:1202.5498 [math.DS])
V.S. Gerdjikov, M.D. Todorov, and A.V. Kyuldjiev	2017	Adiabatic Interactions of Manakov Solitons - Effects of Cross-Modulation	Wave Motion 71, 71-81, doi: 10.1016/j.wavemoti.2016.08.004 (see also arXiv:1610.08413 [nlin.SI])
A.C. Compelli, R.I. Ivanov, and M.D. Todorov	2017	Hamiltonian Models for the Propagation of Irrotational Surface Gravity Waves over a Variable Bottom	Philosophical Transactions of the Royal Society A 376(2111), article 20170091, doi: 10.1098/rsta.2017.0091(see also arXiv:1708.06791 [physics.flu-dyn])
V. S. Gerdjikov and M.D. Todorov	2019	Manakov Model with Gain/Loss Terms and N-soliton Interactions: Effects of Periodic Potentials	Applied Numerical Mathematics 141, 62-80, doi: https://doi.org/10.1016/j.apnum.2018.05.015 (see also arXiv:1801.04897v1 [nlin.SI])
A.C. Compelli, R.I. Ivanov, C.I. Martin and M.D. Todorov	2019	Surface Waves over Currents and Uneven Bottom	Deep-Sea Research Part II: Topical Studies in Oceanography 160, 25-31, doi: 10.1016/j.dsr2.2018.11.004 (see also arXiv:1811.03140v1 [physics.flu-dyn])
V.S. Gerdjikov and M.D. Todorov	2020	On Asymptotic Dynamical Regimes of Manakov N-soliton Trains in Adiabatic Approximation	Journal of Siberian Federal University. Mathematics & Physics 13(6), 1-16, doi: 10.17516/1997-1397-2020-13-6-1-16 (see also arXiv:2007.10959v1 [nlin.SI])
M.D. Todorov	2020	AMiTaNS -- Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences - Retrospection, Present and Future	Biomath Communications 7(2), 62-71, doi: http://dx.doi.org/10.11145/bmc.2020.12.287
V.S. Gerdjikov, B. Prinari, V.V. Pukhnachev, M.D. Todorov	2021	EDITORIAL: “Solitons, Integrability, Nonlinear Waves: Theory and Applications”	European Physical Journal Plus 136(41), doi: https://doi.org/10.1140/epjp/s13360-020-01008-0
R.I. Ivanov, C.I. Martin and M.D. Todorov	2022	Hamiltonian Approach to Modelling Interfacial Waves over Variable Bottom	Physica D: Nonlinear Phenomena 433, #133190, 21p, https://doi.org/10.1016/j.physd.2022.133190 (see also arXiv: 2203.02590 [nlin.PS])

 Proceedings and Chapters

C.I.Christov, and M.D.Todorov	1985	Numerical Investigation of Separated or Cavitating Inviscid Flows	In B.Sendov, R.Lazarov, P.Vassilevski (Eds.), Proc. Intern. Conf. on Numer. Methods and Appl., Sofia 27.8.-2.9.1984,  Publishing House of the BAS, Sofia, pages 216-223
C.I.Christov, and M.D.Todorov	1986	On the Determination of the Shape of Stagnation Zone in Separated Inviscid Flows around  Blunt Bodies	In Proc. 15th Jubilee Session on Ship Hydrodynamics, Varna 6-11 Oct. 1986,  2, paper 10
M.D.Todorov	1990	An Application of Spline-Collocation to Algorithm for Numerical Investigation of Inviscid Separated Flows	In Proc. 6th National Congress of Theoretical and Applied Mechanics, Varna, Bulgaria, 1989, 2, pages 258-261 (in Russian)
C.I.Christov, and M.D.Todorov	1991	Numerical Solution of 2D Helmholtz Problem for Blunt Bodies and Airfoils	In V.V.Kozlov and A.V.Dovgal (Eds.), IUTAM Symp. "Separated Flows and Jets", 7-13 July 1990, Novosibirsk/USSR,   Springer, Berlin, pages 175-180
M.D.Todorov	1992	Numerical Solution of Axisymmetric Helmholtz Problem for a Sphere with Smooth Detachment (Christov's Algorithm)	In Proc.17th National Summer School "Applications of Mathematics in Techniques", Varna 30.8.-8.9.1991, pages 193-196
M.D.Todorov	1993	Christov’s Algorithm for Helmholtz Problem: An Integral-Equations Implementation	In Proc.18th National Summer School "Applications of Mathematics in Techniques", Varna 25.8.-2.9.1992, pages 191-194
M.D.Todorov, and C.I.Christov	1994	Numerical Approach to Ideal Separation on Airfoils. Application of Deformed Quasi-Parabolic Coordinates	In  I.T.Dimov, B.Sendov, P.Vassilevski (Eds.), Proc. 3rd Intern.Conf. "Advances in Numerical Methods and Applications", Sofia, 21-26 August 1994,  World Scientific, Singapore, pages 408-417
M.D.Todorov	1999	Finite-Difference Implementation of Inviscid Separated Flows with  Infinitely-Long Cusp-Ended-Stagnation Zone around Circular Cylinder	In B.I.Cheshankov, M.D.Todorov (Eds.), Proc. 24th Summer School "Applications of Mathematics in Engineering'24", Sozopol 14- 20.6.1998,  Heron Press, Sofia, pages 188-195,  (see also E-print physics/9806045)
M.D.Todorov	1999	Finite-Difference Investigation of Axisymmetric Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone. Flow around a Sphere	In B.I.Cheshankov, M.D.Todorov (Eds.), Proc. 24th Summer School "Applications of Mathematics in Engineering'24", Sozopol 14- 20.6.1998,  Heron Press, Sofia, pages 196-201,  (see also E-print physics/9810024)
M.D.Todorov, and E.A.Varbanova	1999	Application of DERIVE in the Investigation of Explicit Functions of Two Variables	In B.I.Cheshankov, M.D.Todorov (Eds.), Proc. 24th Summer School "Applications of Mathematics in Engineering'24", Sozopol 14-20.6.1998,  Heron Press, Sofia, pages 212-218
M.D.Todorov, T.L.Boyadjiev, P.P.Fiziev, and S.S.Yazadjiev	2003	An Application of Continuous Analogue of Newton's Method for Modeling of Boson-Fermion Stars in the Generalized Scalar- Tensor Theories of Gravity	In B.Dragovich and B.Sazdovich (Eds.), Proc. 2nd Summer School on Modern Mathematical Physics, Kopaonik(Yugoslavia), September 1-12, 2002, Institute of Physics, Belgrade, pages 507-518
V.I.Mihajlov, R.D.Djulgerova, M.D.Todorov, J.Koperski, and Z.Lj. Petrovic	2004	Obtaining of the True Dynamic Optogalvanic Signal from the Registered One in Hollow Cathode Discharge	In Lj.Hadzijevski (Ed.), Proc. 22nd Summer School and Int.Symp. on the Physics of Ionized Gases, 23-27 August 2004, National Park Tara, Serbia and Montenegro, paper 3P51P, pages 481-485
M.D.Todorov, M.E.Todorova, T.P.Todorov, and I.G.Koprinkov	2005	Spatio-Temporal Evolution of Femtosecond Laser Pulses along Nonlinear Medium of Pressurized Argon	In V.Mladenov (Ed.), Proc. “Summer School for Advanced Aspects of Theoretical Electrical Engineering”,  30.09-3.10.2005, Sozopol, pages 35-40
S.V.Bulaev, P.A.Velmisov, and M.D.Todorov	2007	Some Classes of Solutions of Gas Dynamics Equations	In M.S.Marinov, M.D.Todorov (Eds.), Proc. 32nd International Conference "Applications of Mathematics in Engineering", Sozopol 10-16.06.2006, Softtrade Ltd., Sofia, pages 3-10
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2007	Charged Black Holes in Scalar-Tensor Theories of Gravity Coupled to Born-Infeld Nonlinear Electrodynamics	In M.S.Marinov, M.D.Todorov (Eds.), Proc. 32nd International Conference "Applications of Mathematics in Engineering", Sozopol 10-16.06.2006, Softtrade Ltd., Sofia, pages 200-209
R.D.Djulgerova,V.I.Mihajlov, V.Gencheva, M.D.Todorov, J.Koperski, M.Ruszczak, M.Strojcki, and Z.Lj. Petrovic	2007	Plasma Instabilities in a Hollow Cathode Discharge Demonstrated by the Dynamic Ne Optogalvanic Signal	In Z.Petrovic, N.Mason, S.Hamaguchi, M.Radmilovic-Radenovic (Eds.), Proc. 5th EU-Japan Joint Symposium on Plasma Processing, March 2007, Belgrade (Serbia), Institute of Physics, Belgrade, paper po-1-4
V.Mihajlov, R.D.Djulgerova, V.Gencheva, M.D.Todorov, J.Koperski, M.Ruszczak, T.Dohnalik, and Z.Lj. Pertrovic	2007	Argon Dynamic Optogalvanic Signals in 445-467nm Spectral Range for Wavelength Calibration	In Z.Petrovic, N.Mason, S.Hamaguchi, M.Radmilovic-Radenovic (Eds.), Proc. 5th EU-Japan Joint Symposium on Plasma Processing, March 2007, Belgrade (Serbia), Institute of Physics, Belgrade, paper po-2-5
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2007	Charged Black Holes Coupled to Non-Linear Electrodynamics in Scalar-Tensor Theories of Gravity with Masless Scalar Field	In S.A. Cetin and I.Hikmet (Eds.), CP899, 6th International Conference of Balkan Physical Union, 2006, Istanbul, Turkey, American Institute of Physics Conference Proceedings, April 23, vol. 899, pages 157-158, doi:10.1063/1.2733084
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2007	Charged Black Holes Coupled to Non-Linear Electrodynamics in Scalar-Tensor Theories of Gravity with Massive Scalar Field	In B.Dragovich and B.Z.Rakic (Eds.), Proc. 4nd Summer School on Modern Mathematical Physics, Belgrade (Serbia), September 3-14, 2006, Institute of Physics, Belgrade, pages 355-362
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2007	Phases of 4D Black Holes in Scalar-Tensor Theories of Gravity Coupled to Non-Linear Electrodynamics	In M.D. Todorov (Ed.), 33rd International Conference “Applications of Mathematics in Engineering and Economics’33”, 2007, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, October 17, vol. 946, pages 127-134, doi:10.1063/1.2806047
T.P.Todorov, M.E.Todorova, M.D.Todorov, and I.G.Koprinkov	2007	Self-Compression of High-Energy Femtosecond Laser Pulses Using Media of High Ionization Potential	In V.Mladenov (Ed.), Proc. “Summer School for Advanced Aspects of Theoretical Electrical Engineering”,  22-25 September 2007, Sozopol, pages 137-142
M.E.Todorova, T.P.Todorov, M.D.Todorov, and I.G.Koprinkov	2007	Dependence of the Pulse Compression of the Parameters of the Input Pulse and the Nonlinear Medium	In V.Mladenov (Ed.), Proc. “Summer School for Advanced Aspects of Theoretical Electrical Engineering”,  22-25 September 2007, Sozopol, pages 143-148
I.Zh.Stefanov, S.S.Yazadjiev, and M.D.Todorov	2007	Numerical Charged Black-Hole Solutions in Two Types of Scalar-Tensor Theories of Gravity Coupled to Born-Infeld Nonlinear Electrodynamics	Gravity, Astrophysics and Strings @ The Black Sea, 10-16 June 2007, Primorsko, Bulgaria, e-proceedings
P.A.Velmisov, M. D. Todorov, and Yu. A. Kazakova	2008	Some Classes of the Solutions of Aerohydromechanic Equations	In M.D. Todorov (Ed.), 34th International Conference “Applications of Mathematics in Engineering and Economics’34”, 2008, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, October 30, vol.1067, pages 427-441, doi:10.1063/1.3030815
M. D. Todorov, R.D.Djulgerova, V.Mihajlov, and J. Koperski	2008	Procedure for Deconvolution of Time-Dependent Signals with Sinusoidal Shape	In M.D. Todorov (Ed.), 34th International Conference “Applications of Mathematics in Engineering and Economics’34”, 2008, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, October 30, vol.1067, pages 279-284, doi:10.1063/1.3030796
M. D. Todorov, and C.I.Christov	2009	On the Solution of the System of ODEs Governing the Polarized Stationary Solutions of CNLSE	In 3rd Annual Meeting of the Bulgarian Section of SIAM, BGSIAM’08 Proceedings, December 22-23, 2008, Sofia, pages 83-86
D. Georgieva, M. D. Todorov, I.Zh.Stefanov, and S.S.Yazadjiev	2009	Numerical Investigation of Charged Black Holes in the Scalar-Tensor Theories of Gravity with Massive Scalar Field	In 3rd Annual Meeting of the Bulgarian Section of SIAM, BGSIAM’08 Proceedings, December 22-23, 2008, Sofia, pages 37-40
D. Doneva, S.S.Yazadjiev, M. D. Todorov and I.Zh.Stefanov	2009	Numerical Study of Linear Stability of Scalar-Tensor Born-Infeld Black Holes	In M.D. Todorov and C.I.Christov (Eds.), 1st International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’09), 2009, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, October 29, vol.1186, pages 159-165, doi:10.1063/1.3265324
D. Georgieva, I.Zh.Stefanov, M.D. Todorov and S.S.Yazadjiev	2009	Charged Black Holes with Massive Scalar Field	In M.D. Todorov and C.I.Christov (Eds.), 1st International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’09), 2009, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, October 29, vol.1186, pages 166-172, doi:10.1063/1.3265326
I.Zh.Stefanov, D. Georgieva, S.S.Yazadjiev and M.D. Todorov	2009	Mathematical Modeling of Soliton-Like Solutions in the Scalar-Tensor Theories of Gravity	In M.D. Todorov and C.I.Christov (Eds.), 1st International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’09), 2009, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, October 29, vol.1186, pages 173-179, doi:10.1063/1.3265327
M.E.Todorova, T.P.Todorov, M.D.Todorov, and I.G.Koprinkov	2009	Influence of Ionization on the Material Parameters in the Propagation High-Intensity Femtosecond Laser Pulses	In V.Mladenov (Ed.), Proc. “Summer School for Advanced Aspects of Theoretical Electrical Engineering”,  20-23 September 2009, Sozopol, pages 124-129
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2010	Analysis of Types of Oscillations in Goodwin's Model of Business Cycle	In M.D. Todorov and C.I.Christov (Eds.), 2nd International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’10), 2010, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, November 25, vol.1301, pages 188-195, doi:10.1063/1.3526614
D.Doneva, S.S.Yazadjiev, K.Kokkotas, I.Zh.Stefanov, and M.D.Todorov	2010	Thermodynamics of Scalar-tensor AdS Black Holes Coupled to Nonlinear Electrodynamics	In M.D. Todorov and C.I.Christov (Eds.), 2nd International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’10), 2010, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, November 25, vol.1301, pages 313-320, doi:10.1063/1.3526627
D.A.Georgieva, I.Zh.Stefanov, M.D.Todorov, and S.S.Yazadjiev	2010	Phases of Soliton-like Solutions in the Scalar-tensor Theories of Gravity	In M.D. Todorov and C.I.Christov (Eds.), 2nd International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’10), 2010, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, November 25, vol.1301, pages 321-326, doi:10.1063/1.3526628
T.P.Todorov, M.E.Todorova, M.D.Todorov, and I.G.Koprinkov	2010	Generation of Stable (3+1)-dimensional High-intensity Ultrashort Light Pulses	In M.D. Todorov and C.I.Christov (Eds.), 2nd International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’10), 2010, Sozopol, Bulgaria, American Institute of Physics Conference Proceedings, November 25, vol.1301, pages 587-594, doi:10.1063/1.3526660
M.D.Todorov and C.I.Christov	2011	Collision Dynamics of Polarized Solitons in Linearly Coupled Nonlinear Schrödinger Equations	In K.Sekigawa, V.Gerdjikov, Y.Mathsushita, and I.Mladenov (Eds.), The International Workshop on Complex Structures, Integrability, and Vector Fields, 2010, Sofia, Bulgaria, American Institute of Physics Conference Proceedings, vol.1340, pages 144-153, doi: 10.1063/1.3582741
C. I. Christov, M. D. Todorov, and M. A. Christou	2011	Perturbation Solution for the 2D Shallow-Water Waves	In M.D. Todorov and C.I.Christov (Eds.), 3rd International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’11), 2011, Albena, Bulgaria, American Institute of Physics Conference Proceedings, November 1, vol.1404, pages 49-56, doi:10.1063/1.3659903
A.O. Antonova, S.N. Reznik, and M. D. Todorov	2011	Distributed Time Delay Goodwin’s Models of the Business Cycle	In M.D. Todorov and C.I.Christov (Eds.), 3rd International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’11), 2011, Albena, Bulgaria, American Institute of Physics Conference Proceedings, November 1, vol.1404, pages 333-339, doi:10.1063/1.3659902
M.D. Todorov, and C.I.Christov	2012	Numerical Implementation of Fourier-Transform Method for Generalized Wave Equations	In 6th Annual Meeting of the Bulgarian Section of SIAM, BGSIAM’11 Proceedings, December 21-22, 2011, Sofia, pages 97-102
D.D. Doneva, S.S.Yazadjiev, M.D. Todorov, and I.Zh.Stefanov	2012	Stability Analysis of Scalar-tensor Born-Infeld Black Hole Solutions	In T. Damour, R.T. Jantzen and R. Ruffini (Eds), 12th Marcel Grossman Meeting on General Relativity, 13-18 July 2009, Paris, World Scientific Publisher Co Trim Size e-proceeding, ISBN 978-981-4374-51-42010, vol.1, page 1835
I.Zh.Stefanov, S.S.Yazadjiev, and M.D. Todorov	2012	Phases of 4D Scalar-Tensor Black Holes with Non-Linear Electrodynamics	In T. Damour, R.T. Jantzen and R. Ruffini (Eds), 12th Marcel Grossman Meeting on General Relativity, 13-18 July 2009, Paris, World Scientific Publisher Co Trim Size e-proceeding, ISBN 978-981-4374-51-4, vol.3, pages 2087-2089
M.D.Todorov and N.C.Papanicolaou	2012	Editorial – In Memoriam Prof. Christo I. Christov	In M.D. Todorov (Ed.), 4th International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’12), 2012, St.St. Constantine and Helena, Bulgaria, American Institute of Physics Conference Proceedings, October 3, vol.1487, pages 19-21
A.O. Antonova, S.N. Reznik, and M. D. Todorov	2012	Dimensionless Form for Goodwin’s Equation of Business Cycle	In M.D. Todorov (Ed.), 4th International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’12), 2012, St.St. Constantine and Helena, Bulgaria, American Institute of Physics Conference Proceedings, October 3, vol.1487, pages 168-175, doi:10.1063/1.4758955
V.S.Gerdjikov and M. D. Todorov	2013	On the Effects of Sech-like Potentials on Manakov Solitons	In M.D. Todorov (Ed.), 5th International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’13), 2013, Albena, Bulgaria, American Institute of Physics Conference Proceedings, October 17, vol.1561, pages 75-83, doi: 10.1063/1.4827216
A.O. Antonova, S.N. Reznik, and M. D. Todorov	2013	On Periodic Solutions of Goodwin's Business Cycle Model with Only Floor in Induced Investment	In M.D. Todorov (Ed.), 5th International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’13), 2013, Albena, Bulgaria, American Institute of Physics Conference Proceedings, October 17, vol.1561, pages 248-255, doi: 10.1063/1.4827235
M. D. Todorov, N. M. Sirakov, and S. Suh	2013	Fast Splitting Scheme to Minimize New Energy Functional Containing Schrödinger Equation Solution	In M.D. Todorov (Ed.), 5th International Conference “Application of Mathematics in Technical and Natural Sciences” (AMiTaNS’13), 2013, Albena, Bulgaria, American Institute of Physics Conference Proceedings, October 17, vol.1561, pages 378-383, doi: 10.1063/1.4827250
H. Ockendon, S. Stoykov, T. Zorawik, S. Dimova, I. Georgiev, N. Kolkovska, M. Todorov, D. Vasileva	2013	Prediction of Sanding in Subsurface Hydrocarbon Reservoirs	In 95th European Study Group with Industry (ESGI’95) “Problems & Final Reports”, September 23-27, 2013, Sofia, pages 87-95, Demetra, Sofia
V.S.Gerdjikov, and M.D.Todorov	2014	N-soliton Interactions for the Manakov System: Effects of External Potentials	Chapter in Localized Excitations in Nonlinear Complex Systems, Series: Nonlinear Systems and Complexity 7, R. Carretero-Gonzalez, D. Cuevas-Maraver, D. Frantzeskakis, N. Karachalios, P. Kevrekidis, F. Palmero-Acebedo (Eds.), © Springer International Publishing Switzerland 2014, 432 p., pages 147-168, ISBN 978-3-319-02056-3, doi: 10.1007/978-3-319-02057-0__7
M.D.Todorov	2014	Role of the Nonlinear Coupling in the Collision Dynamics of Quasi-Particles Governed by Vector NLSE	In B.Aneva, G.Grahovsky, R.Ivanov, D.Mladenov (Eds.) International Conference on Integrability, Recursion Operators and Soliton Interactions, pages 247-274, Avangard Prima, Sofia, ISBN: 978-619-160-313-8
M.E.Todorova, T.P.Todorov, M.D.Todorov, and I.G.Koprinkov	2014	Spatiotemporal Dynamics of High-Intensity Ultrashort Laser Pulses in Strongly Nonlinear Regime	Chapter in Communications in Computer and Information Sciences 438, Nonlinear Dynamics of Electronic Systems, V.M.Mladenov and P.C.Ivanov (Eds.), Springer International Publishing Switzerland 2014, pages 165-172, ISBN 978-3-319-08671-2, doi: 10.1007/978-3-319-086729
M.D.Todorov, V.S.Gerdjikov, and A.V.Kyuldjiev	2014	Modeling Interactions of Soliton Trains. Effects of External Potentials	In M.D.Todorov (Ed.) 6th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'14), 2014, Albena, Bulgaria, American Institute of Physics Conference Proceedings, November 12, vol.1629, pages 186-200, doi:10.1063/1.4902273
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2014	On the Excitation of Goodwin's Oscillations	In M.D.Todorov (Ed.) 6th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'14), 2014, Albena, Bulgaria, American Institute of Physics Conference Proceedings, November 12, vol.1629, pages 239-246, doi:10.1063/1.4902279
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2014	The Effect of Consumption Delay on the Excitation of Goodwin's Oscillations	In M.D.Todorov (Ed.) 6th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'14), 2014, Albena, Bulgaria, American Institute of Physics Conference Proceedings, November 12, vol.1629, pages 247-252, doi:10.1063/1.4902280
A.Bowden, M.D.Todorov, and N.M.Sirakov	2014	Implementation of the Euler-Lagrange and Poisson Equations to Extract One-Connected Region	In M.D.Todorov (Ed.) 6th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'14), 2014, Albena, Bulgaria, American Institute of Physics Conference Proceedings, November 12, vol.1629, pages 400-407, doi:10.1063/1.4902301
I.G. Koprinkov, M.D.Todorov, M.E. Todorova, and T.P. Todorov	2014	Spatiotemporal Stabilization of Ultrashort Light Pulses Propagating in Nonlinear Ionized Medium	In A.Slavova (Ed.) Mathematics in Industry, Proc. BG SIAM, December 2013, Sofia, pages 162-174, ISBN 978-1-4438-6401-5, Cambridge Scholar Publishing
A.V. Kyuldjiev, V.S.Gerdjikov, and M.D.Todorov	2014	Asymptotic Behavior of Manakov Solitons: Effects of Shallow and Wide Potential Wells and Humps	In A.Slavova (Ed.) Mathematics in Industry, Proc. BG SIAM, December 2013, Sofia, pages 356-371, ISBN 978-1-4438-6401-5, Cambridge Scholar Publishing
O.Kounchev, M.D.Todorov, D.Georgieva, N.Simeonov, and V.Kolev	2014	Smoothing of Well Rates in Subsurface Hydrocarbon Reservoir Simulators	In 104th European Study Group with Industry (ESGI'104) "Problems & Final Reports," September 23-27, 2014, Sofia, pages 60-70, Demetra, Sofia
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2015	Dynamics of the Driven Goodwin Business Cycle Equation	In M.D.Todorov (Ed.) 7th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'15), 2015, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.1684, paper 050002, 8p., doi:10.1063/1.4934298
V.S.Gerdjikov, M.D.Todorov, and A.V.Kyuldjiev	2015	Polarization Effects in Modeling Soliton Interactions of the Manakov Model	In M.D.Todorov (Ed.) 7th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'15), 2015, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.1684, paper 080006, 12p., doi:10.1063/1.4934317
M.E.Todorova, M.D.Todorov, T.P. Todorov, and I.G. Koprinkov	2015	Robust Ultrashort Laser Pulse Formation in Ionization-Free Regime Propagation	In M.D.Todorov (Ed.) 7th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'15), 2015, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.1684, paper 080012, 7p., doi:10.1063/1.4934323
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2016	Comparative Analysis of Goodwin’s Business Cycle Models	In M.D.Todorov (Ed.) 8th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'16), 2016, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.1773, paper 060002, 8p., doi:10.1063/1.4964977
M.D.Todorov	2016	On a Method for Solving of Multidimensional Equations of Mathematical Physics	In M.Belhaq (Ed.) CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis, Marrakech, Morocco, EDP Sciences, France MATEC Web of Conferences, vol.83, paper 05012, 3p., doi:10.1051/matecconf/20168305012
R.Carretero, V.S.Gerdjikov, and M.D.Todorov,	2017	N-Soliton Interacions: Effects of Linear and Nonlinear Gain and Loss	In M.D.Todorov (Ed.) 9th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'17), 2017, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.1895, paper 040001, 10p., doi:10.1063/1.5007368
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2017	The Dynamics of Two Linearly Coupled Goodwin Oscillators	In M.D.Todorov (Ed.) 9th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'17), 2017, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.1895, paper 070001, 10p., doi:10.1063/1.5007390
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2018	The Dynamics of Two Linearly Coupled Goodwin Oscillators with Fixed Delay	In M.D.Todorov (Ed.) 10th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'18), 2018, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.2025, paper 060001, 7p., doi:10.1063/1.5064909
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2019	Transient State Analysis of Oscillations in Goodwin’s Model with Fixed Delay in Induced Investment	In M.D.Todorov (Ed.) 11th International Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'19), 2019, Albena, Bulgaria, American Institute of Physics Conference Proceedings, vol.2164, paper 080001, 8p., doi:10.1063/1.5130824
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2020	Effect of Consumption Delay on Goodwin’s Oscillations in "Only Floor" model of Induced Investment	In M.D.Todorov (Ed.) 12th International On-Line Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'20), 2020, American Institute of Physics Conference Proceedings, vol.2302, paper 080001, 7p., doi:10.1063/5.0035080
M.E. Hohn, E.A. Radunskaya, H.V. Kojouharov and M.D.Todorov	2020	Which Bug Bugs You More? Microbiome Competition and Toxin Interference	In M.D.Todorov (Ed.) 12th International On-Line Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'20), 2020, American Institute of Physics Conference Proceedings, vol.2302, paper 080003, 9p., doi:10.1063/5.0034570
A.O.Antonova, S.N.Reznik, and M.D.Todorov	2022	High Order ODE’s Approximations for Goodwin’s Business Cycle Model	In M.D.Todorov (Ed.) 13th International Hybrid Conference "Application of Mathematics in Technical and Natural Sciences (AMiTaNS'21), 2022, American Institute of Physics Conference Proceedings, vol.2522, paper 070001, 10p., doi:10.1063/5.0100752
V.Lyashenko, M.D.Todorov, E. Kobilskaya, O.Demyanchenko, and T. Hryhorova	2022	Special Functions in Heat Transfer Problems	Chapter in H. Altenbach, A. H.-D. Cheng et al (Eds.) Advances in Mechanical and Power Engineering, CAMPE 2021, Lecture Notes in Mechanical Engineering, pages 274-282, print ISBN 978-3-031-18486-4, doi:10.1007/978-3-031-18487-1_28

BOOKS, MANUALS, AND EDITORIAL WORK

M.D.Todorov, L.I.Boyadjiev	1992	Calculus Module on Multiple Integrals,  Technical University, Sofia
B.I.Cheshankov, and M.D.Todorov (Editors)	1998	"Applications of Mathematics in Engineering" Proceedings of the 23rd Summer School, Sozopol, Bulgaria, June 15-21, 1997 Heron Press,  Sofia,  (202 pages), ISBN 954-580-043-7
B.I.Cheshankov, and M.D.Todorov  (Editors)	1999	"Applications of Mathematics in Engineering'24" Proceedings of the 24th Summer School, Sozopol, Bulgaria, June 14-20, 1998 Heron Press, Sofia, (246 pages), ISBN 954-580-057-7
B.I.Cheshankov, and M.D.Todorov (Editors)	2000	"Applications of Mathematics in Engineering and Economics'25" Proceedings of the 25th Jubilee Summer School, Sozopol, Bulgaria, June 13-19, 1999, Heron Press, Sofia, (186 pages), ISBN 954-580-075-5
B.I.Cheshankov, and M.D.Todorov (Editors)	2001	"Applications of Mathematics in Engineering and Economics'26" Proceedings of the 26th  Summer School, Sozopol, Bulgaria, June 11-17, 2000 Heron Press, Sofia, (342 pages), ISBN 954-580-094-1
D.Ivanchev, and M.D.Todorov (Editors)	2002	"Applications of Mathematics in Engineering and Economics'27" Proceedings of the 27th Summer School, Sozopol, Bulgaria, June 10-17, 2001 Heron Press, Sofia,  (714+xx pages), ISBN 954-580-115-8
P.P.Fiziev, and M.D.Todorov (Editors)	2003	"Gravity, Astrophysics, and Strings" Proceedings of the First Advanced Workshop, Kiten, Bulgaria, June 10-16, 2002 St.Kliment Ohridski University Press, Sofia, (231+xx pages+CD ROM), ISBN 954-07-1780-9
M.D.Todorov (Member of Editorial Board)	since 2004	Applications and Applied Mathematics: An International Journal (AAM) (Texas A&M University, Prairie View, TX, USA)
P.P.Fiziev, and M.D.Todorov (Editors)	2005	"Gravity, Astrophysics, and Strings" Proceedings of the Second Advanced Workshop, Kiten, Bulgaria,   June 10-16, 2004, St.Kliment Ohridski University Press, Sofia, (222+xiii pages+CD ROM), ISBN 954-07-2126-1
M.S.Marinov, and M.D.Todorov (Editors)	2006	"Applications of Mathematics in Engineering and Economics'31" Proceedings of the 31st International Conference, Sozopol, Bulgaria, June 5-10, 2005, Softtrade Ltd., Sofia, (334 pages), ISBN-10:954-334-032-3, ISBN-13:978-954-334-032-3
P.P.Fiziev, and M.D.Todorov (Editors)	2006	"Gravity, Astrophysics, and Strings" Proceedings of the Third Advanced Workshop, Kiten, Bulgaria, June 13-20, 2005, St.Kliment Ohridski University Press, Sofia, (304+xv pages), ISBN-10: 954-07-2422-8, ISBN-13: 978-954-07-2422-5
M.S.Marinov, and M.D.Todorov (Editors)	2007	"Applications of Mathematics in Engineering and Economics'32" Proceedings of the 32nd International Conference, Sozopol, Bulgaria, June 10-16, 2006, Softtrade Ltd., Sofia, (293+xi pages), ISBN-978-954-334-050-7
M.D.Todorov (Editor)	2007	"Applications of Mathematics in Engineering and Economics'33" Proceedings of the 33rd International Conference, Sozopol, Bulgaria, June 8-14, 2007, American Institute of Physics Conference Proceedings, vol. 946, Melville, New York, (280+ xxii pages), L.C. Catalog Card No. 2007937336, ISBN-978-0-7354-0460-1, ISSN-0094-243X
M.D.Todorov (Editor)	2008	"Applications of Mathematics in Engineering and Economics'34" Proceedings of the 34th International Conference, Sozopol, Bulgaria, June 8-14, 2008, American Institute of Physics Conference Proceedings, vol. 1067, Melville, New York, (569+ xlii pages), L.C. Catalog Card No. 2008938271, ISBN 978-0-7354-0598-1, ISSN 0094-243X
M.D.Todorov, and C.I.Christov (Editors)	2009	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’09)" Proceedings of the 1st International Conference, Sozopol, Bulgaria, June 22-27, 2009, American Institute of Physics Conference Proceedings, vol. 1186, Melville, New York, (460+ xxxiii pages), L.C. Catalog Card No. 2009910007, ISBN 978-0-7354-0752-5, ISSN 0094-243X
M.D.Todorov, and C.I.Christov (Editors)	2010	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’10)" Proceedings of the 2nd International Conference, Sozopol, Bulgaria, June 21-26, 2010, American Institute of Physics Conference Proceedings, vol. 1301, Melville, New York, (682+ xxxiv pages), L.C. Catalog Card No. 2010915618, ISBN 978-0-7354-0856-2, ISSN 0094-243X
M.D.Todorov, and C.I.Christov (Editors)	2011	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’11)" Proceedings of the 3rd International Conference, Albena, Bulgaria, June 20-25, 2011, American Institute of Physics Conference Proceedings, vol. 1404, Melville, New York, (466+ix pages), L.C. Catalog Card No. 2011940282, ISBN 978-0-7354-0976-7, ISSN 0094-243X.
M.D.Todorov (Editor)	2012	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’12)" Proceedings of the 4th International Conference, Memorial Volume devoted to Prof. Christo I. Christov, St.St. Constantine and Helena, Bulgaria, June 11-16, 2012, American Institute of Physics Conference Proceedings, vol. 1487, Melville, New York, (422 pages), ISBN 978-0-7354-1099-2, ISSN 0094-243X.
M.D.Todorov (Editor)	2013	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’13)" Proceedings of the 5th International Conference, Albena, Bulgaria, June 24-29, 2013, American Institute of Physics Conference Proceedings, vol. 1561, Melville, New York, (386 + v pages), ISBN 978-0-7354-1189-0, ISSN 0094-243X.
M.D.Todorov (Editor)	2014	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’14)" Proceedings of the 6th International Conference, Albena, Bulgaria, June 26-July 1, 2014, American Institute of Physics Conference Proceedings, vol. 1629, Melville, New York, (464 + viii pages), ISBN 978-0-7354-1268-2, ISSN 0094-243X.
M.D.Todorov (Editor)	2015	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’15)" Proceedings of the 7th International Conference, Albena, Bulgaria, June 28-July 3, 2015, American Institute of Physics Conference Proceedings, vol. 1684, Melville, New York, (621 pages), ISBN 978-0-7354-1331-3, ISSN 0094-243X.
M.D.Todorov (Editor)	2016	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’16)" Proceedings of the 8th International Conference, Albena, Bulgaria, June 22-27, 2016, American Institute of Physics Conference Proceedings, vol. 1773, Melville, New York, (632 pages), ISBN 978-0-7354-1431-0, ISSN 0094-243X.
K.T.Georgiev, M.D.Todorov, and I.G.Georgiev (Editors)	2017	Advanced Computing in Industrial Mathematics, Revised Selected Papers of the 10th Annual Meeting of the Bulgarian Section of SIAM December 21-22, 2015, Sofia, Bulgaria, Studies in Computational Intelligence, vol. 681, Springer International Publishing (X, 251 pages), doi: 10.1007/978-3-319-49544-6, ISBN 978-3-319-49543-9, ISSN 1860-949X.
M.D.Todorov (Editor)	2017	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’17)" Proceedings of the 9th International Conference, Albena, Bulgaria, June 21-26, 2017, American Institute of Physics Conference Proceedings, vol. 1895, Melville, New York, (668 pages), ISBN 978-0-7354-1579-9, ISSN 0094-243X.
K.T.Georgiev, M.D.Todorov, and I.G.Georgiev (Editors)	2017	Advanced Computing in Industrial Mathematics, Revised Selected Papers of the 11th Annual Meeting of the Bulgarian Section of SIAM December 20-22, 2016, Sofia, Bulgaria, Studies in Computational Intelligence, vol. 728, Springer International Publishing (VIII, 227 pages), doi: 10.1007/978-3-319-65530-7, ISBN 978-3-319-65529-1, ISSN 1860-949X.
I.C.Christov, M.D.Todorov, and S. Yoshida ( Guest Editors)	2017	Special Issue "Mathematical Modeling and Physical Dynamics of Solitary Waves: From Continuum Mechanics to Field Theory", Wave Motion (Elsevier), vol. 71 (13 papers, 138 pages) .
M.D.Todorov (Editor)	since 2018	Applied Numerical Mathematics (Elsevier)
M.D.Todorov	2018	Nonlinear Waves. Theory, Computer Simulation, Experiment, (Morgan & Claypool Publishers, San Rafael, CA, USA), Series on wave phenomena in the physical sciences, Series Editor Sanichiro Yoshida, 186 pages, doi: 10.1088/978-1- 6432-7047-0, ISBN 978-1-6432-7047-0 (ebook), ISBN 978-1-6432-7044-9 (print), ISBN 978-1-6432-7045-6 (mobi).
M.D.Todorov (Editor)	2018	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’18)" Proceedings of the 10th International Conference, Albena, Bulgaria, June 20-25, 2018, American Institute of Physics Conference Proceedings, vol. 2025, Melville, New York, (699 pages), ISBN 978-0-7354-1745-8, ISSN 0094-243X.
M.D.Todorov (International Member of Editorial Board)	since 2019	Computer Modeling: Analysis, Control, Optimization (Ukrainian State University of Chemical Technology, Dnipro)
K.T.Georgiev, M.D.Todorov, and I.G.Georgiev (Editors)	2019	Advanced Computing in Industrial Mathematics, Revised Selected Papers of the 12th Annual Meeting of the Bulgarian Section of SIAM December 20-22, 2017, Sofia, Bulgaria, Studies in Computational Intelligence, vol. 793, Springer International Publishing (X, 446 pages), doi: 10.1007/978-3-319-97277-0, ISBN 978-3-319-67276-3, ISSN 1860-949X.
M.D.Todorov (Editor)	2019	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’19)" Proceedings of the 11th International Conference, Albena, Bulgaria, June 20-25, 2019, American Institute of Physics Conference Proceedings, vol. 2164, Melville, New York, (786 pages), ISBN 978-0-7354-1909-4, ISSN 0094-243X.
B.Prinari, V.Gerdjikov V.Pukhnachev, and M.D.Todorov ( Guest Editors)	2020	Focus Point "Solitons, Integrability, Nonlinear Waves: Theory and Applications", European Physical Journal Plus (Springer), vol. 135, (18 papers).
M.D.Todorov (Editor)	2020	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’20)" Proceedings of the 12th International On-Line Conference, June 24-29, 2020, American Institute of Physics Conference Proceedings, vol. 2302, Melville, New York, (683 pages), ISBN 978-0-7354-4036-4, ISSN 0094-243X.
M.D.Todorov (Member of Editorial Board)	since April 2022	Biomath Communications (Institute of Mathematics and Informatics, BAS, Sofia, Bulgaria)
M.D.Todorov (Editor)	2022	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’21)" Proceedings of the 13th International Hybrid Conference, June 24-29, 2021, American Institute of Physics Conference Proceedings, vol. 2522, Melville, New York, (888 pages, 96 articles), ISBN 978-0-7354-4361-7, ISSN 0094-243X.
M.D.Todorov (Member of Editorial Board)	March 2023 - February 2024	Communications in Analysis and Mechanics (AIMS Press)
M.D.Todorov (Member of Editorial Board)	since March 2024	Mathematics (AIMS Press)
M.D.Todorov (Editor)	2023	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’22)" Proceedings of the 14th International Hybrid Conference, June 22-27, 2022, American Institute of Physics Conference Proceedings, vol. 2953, Melville, New York, (553 pages, 53 articles), ISBN 978-0-7354-4720-2, ISSN 0094-243X.
M.D.Todorov (Guest-Editor)	2023	"Application of Mathematics in Technical and Natural Sciences (AMiTaNS’23)" Proceedings of the 15th International Hybrid Conference, June 21-26, 2023, Journal of Physics: Conference Series, vol. 2675, Institute of Physics, Bristol, the UK, (488 pages, 37 articles), ISBN 978-1-7138-8771-3, ISSN 1742-6588.
M.D.Todorov (Member of Editorial Board)	since August 2024	Journal of Nonlinear Mathematical Physics (Springer)

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