EDUCATION
 

1984

St.Kliment Ohridski University of Sofia

 M.Sc. in Mathematics 

Faculty of Mathematics and Mechanics

1989

St.Kliment Ohridski University of Sofia

 Ph.D. in Mathematics

Department of Fluid Mechanics, Faculty of Mathematics and Informatics

PROFESSIONAL EXPERIENCE
 

1984-1985 

Mathematician 

Software Division, Institute "Mechatronics", Gabrovo

1985-1988

Postgraduated

Department of Fluid Mechanics, Faculty of Mathematics and Informatics, St.Kliment Ohridski University of Sofia

1988-1990

 Mathematician 

Laboratory of Hydrometeorological Informatics, National Institute on Hydrology&Meteorology- Bulgarian Academy of Sciences, Sofia

1990-2001 

Assistant Professor
in Mathematics

Department of Differential Equations, Faculty of Applied Mathematics & Informatics, Technical University of Sofia, Sofia

2001-2012

Associate Professor
in Mathematics

Department of Differential Equations, Faculty of Applied Mathematics & Informatics, Technical University of Sofia, Sofia

2004-3 months

Senior Research Fellow

Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia

Spring Semester 2008

Visiting Professor

Department of Mathematics, University of Texas at Arlington, TX, USA

Summer II 2009

Visiting Scholar

Department of Mathematics, University of Texas at Arlington, TX, USA

April 22-29 2011

Visiting Adviser

Department of Mathematics, University of Texas at Arlington, TX, USA

July 12, 2012 - February 29, 2024

Full Professor in Applied Mathematics

Chair of Differential Equations, Department of Applied Mathematics & Informatics, Technical University of Sofia, Sofia

Since March 1, 2024

Full Professor in Applied Mathematics

Section of Differential Equations and Mathematical Physics, Institute of Mathematics and Informatics - BAS, Sofia

November 8-14 2012

Visiting Scholar

Department of Mathematics, University of Alabama in Huntsville, AL, USA

March 29-April 14 2013

Sabbatical Professor

Southeastern Louisiana University at Hammond, LA, USA

March 27-31 2015

Visiting Scholar

Department of Mathematics, College of Charleston, SC, USA

July 5-12 2016

Sabbatical Professor

College of Arts & Science, Embrie-Riddle Aeronautical University at Daytona Beach, FL, USA

August 3-8 2016

Visiting Scholar

Center for Space Plasma and Aeronomical Research, University of Alabama in Huntsville, AL, USA

April 1-11 2017

Sabbatical Professor

College of Arts & Science, Embrie-Riddle Aeronautical University at Daytona Beach, FL, USA

Fall Semester 2018-19

Senior Research Fellow

Department of Mathematics, Southern University of Science and Technology, Shenzhen, P.R. China

February-July 2020

Sabbatical Professor, Fulbright Grantee

Department of Mathematics & Statistics, San Diego State University, CA, USA

October-December 2023

Sabbatical Professor, Sao Paulo Research Foundation - FAPESP Grantee

Department of Applied Mathematics - DMA Institute of Mathematics, Statistics and Scientific Computing - IMECC, University of Campinas - UNICAMP, SP, Brazil

HONOURS

Prize for best work of the National Student Session on Mathematics, October 1984, Plovdiv, Bulgaria: Numerical Investigation of Inviscid Flow around Bodies with Stagnation Zone and Cavitation.

Nominated for the Gold Medal for Bulgaria by the American Institute for Bibliography, Raleigh NC, January 2011

 

TEACHING EXPERIENCE

Technical University of Sofia
 

Linear Algebra&Analytical Geometry 

 seminars 
lecture course (B.S.)

1990-2024 
1997-2024

 Calculus (One Variable)

 seminars 
 lecture course (B.S.)

1990-2024 
1996-2024 

Multivariable Calculus

seminars 
lecture course (B.S.)

1990-2024 
1996-2024 

Selected Topics of Mathematics

seminars 
lecture course (B.S.)

1991-2024 
1996-2024 

Numerical Modeling with 
Partial Differential Equations

 lecture course + laboratory seminars (B.S.)

    2002-2023

Theoretical Mechanics

lecture course + seminars (B.S. in College of Energy and Electronics)

2002-2007

Numerical Methods for Differential Equations

lecture course + laboratory seminars (B.S.)

2021-2023

Mathematical Methods in 
Mechanical Engineering

lecture course (M.Sc.)

2002-2010

Models in Mechanics of Continuous Media

lecture course + seminars (M.Sc.)

2006-2023

 

St.Kliment Ohridski University of Sofia, Faculty of Geology and Geography
 
 

Computer Science and Technology

lecture course+ seminars  (B.S.)

since 2000

Statistics

lecture course+ seminars (B.S.)

2002-2009

Publishing Information Systems

lecture course+ seminars
(M.Sc.)

since 2003

Information Technology

lecture course+ seminars
(M.Sc.)

2010

 

Paisii Hilendarski University of Plovdiv, Branch Kardjali
 
 

Theoretical Electrodynamics

lecture course (B.S.)

2004-2008 


 

University of Texas at Arlington, Department of Mathematics, TX, USA
 
 

Differential Equations & Linear Algebra

lecture course (undergraduate)

 2008 

Derivatives of Financial Mathematics

lecture course (graduate)

 2009 


 

Southern University of Science and Technology, Department of Mathematics, Shenzhen, P.R. China
 
 

Probability & Statistics

lecture course (undergraduate)

 2018/19 

Scientific Computing

lecture course (graduate and postgraduate)

 2018/19 

 

New Bulgarian University, Department of Informatics
 
 

Matrix Computing

lecture course (M.S.)

since 2019 

Tensor Computing

lecture course (M.S.)

 since 2020 

 

PARTICIPATION IN ORGANIZING AND PROGRAMME  COMMITTEES
 
 

Organizing Committee 

23rd Summer School Applications of Mathematics in Engineering, Sozopol, Bulgaria, 
June 15-21, 1997

Secretary

Organizing Committee

24th Summer School Applications of Mathematics in Engineering, Sozopol, Bulgaria, 
June 14-20, 1998

Secretary

Organizing Committee

25th Jubilee Summer School Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 
June 13-19, 1999

Secretary

Organizing Committee

26th Summer School Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 
June 11-17, 2000

Secretary

Programme Committee

International Conference Modern Trends in the Computational Physics, Joint Institute for Nuclear Research-Dubna, Russia,
 July 24-29, 2000

Member

Organizing Committee

27th Summer School Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 

June 10-17, 2001

Secretary

Local Organizing 
Committee

1st Advanced Research Workshop Gravity, Astrophysics, and Strings @ the Black Sea, Kiten, Bulgaria, 
June 10-16, 2002

Secretary

Programme Committee

5th International Congress on Mathematical Modeling, Dubna, Russia, September 30-October 6, 2002

Member

Local Organizing 
Committee

2nd Advanced Research Workshop Gravity, Astrophysics, and Strings @ the Black Sea, Kiten, Bulgaria, 
June 11-16, 2004

Secretary

 

3rd International Conference on Numerical Analysis & Applications, Rousse, Bulgaria 
  June 29-July 3, 2004
              Minisymposium Some Trends in Modeling of Non-linear Physical Problems

Organizer of the Minisymposium

Organizing Committee

31st International Conference Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, June 5-10, 2005

Secretary

Local Organizing Committee

International Summer School and Conference on Arrays of Quantum Dots and Josephson Junctions, Kiten, Bulgaria 
Summer School: June, 9-24, 2005

 Conference:       June, 21-25, 2005

Contact Person

 

 Local Organizing Committee

3rd Advanced Research Workshop Gravity, Astrophysics, and Strings @ the Black Sea, Kiten, Bulgaria,
June 13-20, 2005

Secretary

Organizing Committee

31st International Conference Applications of Mathematics in Engineering and Economics, Sozopol, 
Bulgaria, June 5-10, 2005

Secretary

Organizing Committee

32nd International Conference Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 
June 10-16, 2006

Secretary

Organizing Committee

33rd International Conference Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 
June 8-14, 2007

Chairman

 

 Local Organizing Committee

4th Advanced Research Workshop Gravity, Astrophysics, and Strings @ the Black Sea, Primorsko, Bulgaria,
June 10-16, 2007

Secretary

Program and Organizing Committee

34th International Conference Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 
June 8-14, 2008

General Chair

Organizer

1st Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'09), Sozopol, Bulgaria, June 22-27, 2009

Chairman

Organizer

2nd Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'10), Sozopol, Bulgaria, June 21-26, 2010

Chairman

Scientific Committee

7th International Conference on Numerical Methods and Applications (NM&A'10), August 20-24, 2010, Borovets, Bulgaria

Member

 

7th IMACS International Conference on Nonlinear Evolution
Equations and Wave Phenomena: Computation and Theory,
University of Georgia, Athens, GA, USA, April 4-7, 2011

Organizer of Symposium "Recent Trends in Nonlinear Wave Phenomena - Achievements and Challenges"

Organizer and Coordinator

3rd Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'11), Albena, Bulgaria, June 20-25, 2011

Chairman

Organizer and Coordinator

4th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'12), St.St. Constantine and Helena, Varna, Bulgaria, June 11-16, 2012

Chairman

International Advisory Board

International Scientific Conference on Mechanics MECH2012,

19-22 November 2012, Sofia, Bulgaria

Member

International Program Committee

8th IMACS International Conference on Nonlinear Evolution
Equations and Wave Phenomena: Computation and Theory,
University of Georgia, Athens, GA, USA, March 25-28, 2013

Organizer of Special Session "Modeling and Wave Phenomena in Nonlinear Continuum Mechanics", and member of IPC

Organizer and Coordinator

5th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'13), Albena, Bulgaria, June 24-29, 2013

Chairman

Organizing Committee

International Conference Mathematical Methods and Models: Theory and Applications in the Education, Ulyanovsk, Russia, April 28-30, 2014

Member

Organizer and Coordinator

6th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'14), Albena, Bulgaria, June 26-July 1, 2014

Chairman

Scientific Committee

8th International Conference on Numerical Methods and Applications (NM&A'14), August 20-24, 2014, Borovets, Bulgaria

Member

International Program Committee

9th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, GA, USA, April 1-4, 2015

Organizer of Special Session "Mathematical Modeling and Physical Dynamics of Solitary Waves: From Continuum Mechanics to Field Theory", and Member of IPC

Organizer and Coordinator

7th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'15), Albena, Bulgaria, June 28-July 3, 2015

Chairman

Program Committee

National Conference Mathematical Modeling and Mathematical Physics devoted to the 165th anniversary of the Sofia Kovalevskaya birth, Kremenchuk, Ukraine, September 22-25, 2015

Member

Organizer and Coordinator

8th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'16), Albena, Bulgaria, June 22-27, 2016

Chairman

Program Committee

4th All-Ukrainian Scientific Conference Mathematical Modelling and Mathematical Physics, Kremenchuk, Ukraine, October 3-5, 2016

Member

Scientific Program Committee

10th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, GA, USA, March 29-April 1, 2017

Organizer of Special Session "Solitary and Rogue Waves as Solutions of Generalized Schrodinger Equations. Achievements and Challenges," and Member of SPC

Organizer and Coordinator

9th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'17), Albena, Bulgaria, June 21-26, 2017

Chairman

Organizer and Coordinator

10th Jubilee Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'18), Albena, Bulgaria, June 20-25, 2018

Chairman

Member

International Conference on Mathematical Methods and Models in Biosciences and Models and a School for Young Scientists (BIOMATH 2018), Sofia, Bulgaria, June 24-29, 2018

Honorary Program Committee

The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 5-9, 2018

Organizer of Special Session "Analytic and Numerical Investigation of Soliton Dynamics"

Member

9th International Conference on Numerical Methods and Applications, Borovets, Bulgaria , August 20-24, 2018

International Scientific Committee

Member

11th IMACS International Conference on Nonlinear Evolution Equations and Wave phenomena: Phenomena: Computation and Theory, Athens, GA, USA, April 17-19, 2019

Scientific Program Committee

Organizer and Coordinator

11th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'19), June 20-25, 2019, Albena, Bulgaria,

Chairman

Member

7th All-Ukrainian Scientific Conference "Mathematical Modeling and Mathematical Physics", devoted to the 110th anniversary of the birth of Nikolay Bogolyubov, Kremenchuk, Ukraine, October 1-4, 2019

Program Committee

Organizer and Coordinator

12th On-Line Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'20), June 24-29, 2020

Chairman and Zoom Host

Organizer and Coordinator

13th Hybrid Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'21), Albena, Bulgaria, June 24-29, 2021

Chairman and Zoom Host

Member

12th IMACS International Conference on Nonlinear Evolution Equations and Wave phenomena: Phenomena: Computation and Theory, Athens, GA, USA, March 29-April 01, 2022

Organizer of Special Session "Peakons and Beyond" and Member of SPC

Organizer and Coordinator

14th Hybrid Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'22), Albena, Bulgaria, June 22-27, 2022

Chairman and Zoom Host

Member

10th International Conference on Numerical Methods and Applications, Borovets, Bulgaria, August 22-26, 2022

International Scientific Committee

Organizer and Coordinator

15th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'23), Albena, Bulgaria, June 21-26, 2023

Chairman

Organizer and Coordinator

10th International Congress on Industrial and Applied Mathematics (ICIAM), Tokyo, August 20-25, 2023

Organizer of Minisymposium 00707 Theoretical and Numerical Challenges in the Modelling of Fluid Motion

Organizer and Coordinator

16th Conference Application of Mathematics in Technical and Natural Sciences (AMiTaNS'24), Albena, Bulgaria, June 21-26, 2024

Chairman

Member

14th National Congress on Theoretical and Applied Mechanics, Sofia, Bulgaria, 2nd-4th September 2024

International Scientific Committee

Member

13th IMACS International Conference on Nonlinear Evolution Equations and Wave phenomena: Phenomena: Computation and Theory, Athens, GA, USA, April 14-16, 2025

Scientific Program Committee



 INVITED TALKS

C.I.Christov, M.D.Todorov, Difference Implementation of Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone around Circular Cylinder,22nd Summer School Applications of Mathematics in Engineering, Sozopol, September 14-21, 1996.

M.D.Todorov, Mathematical Modeling of Boson-Fermion Stars in  the Generalized Scalar-Tensor Theory of Gravity, 2nd Summer School on Modern Mathematical Physics, Kopaonik (Serbia and Montenegro), September 1-12, 2002.

M.D.Todorov, About Some Aspects in Numerical Investigation of Nonlinear Schroedinger Equation, AIMS 6th International Conference "Dynamical Systems, Differential Equations and Applications," Poitiers(France), June 25-28, 2006.

M.D.Todorov, Impact of Cross-Modulation Parameter on the Collision Dynamics of Quasi-Particles Governed by Vector NLSE, 5th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, USA, April 16-19, 2007

M.D.Todorov, Collision Dynamics of Coupled Nonlinear Schroedinger Equations, Joint ISC/NA Seminar Dept. of Mathematics, Texas A&M University, College Station, TX (USA), April 11, 2008.

M.D.Todorov, Impact of the Initial Polarization on the Collision Dynamics of Quasi-Particles Governed by Vector NSE, AIMS 7th International Conference "Dynamical Systems, Differential Equations and Applications," Arlington, TX (USA), May 17-21, 2008.

M.D.Todorov, Collision Dynamics of Elliptically Polarized Solitons of CNSE, 6th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, USA, March 23-26, 2009.

M.D.Todorov, The Effect of the Linear Coupling on the Phase Shift of Interacting Solitons in CNSEs, 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Dresden, Germany, May 25-28, 2010.

M.D.Todorov, The Effect of the Elliptic Polarization on the Quasi-Particle Dynamics of Linearly Coupled Systems of Nonlinear Schroedinger Equations, 7th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, USA, April 4-7, 2011.

M.D.Todorov, Vector Schroedinger Equation: Coupling, Polarization, Phase Difference, Quasi-Particle Dynamics, Colloquium of Department of Mathematics, University of Louisiana at Lafayette, LA, USA, April 14, 2011.

M.D.Todorov, The Effect of the Initial Polarization on the Quasi-Particle Dynamics of Linearly and Nonlinearly Coupled Systems of NSE, Texas A&M-Commerce Computational Science Colloquium, TX, USA, April 20, 2011.

M.D.Todorov, Impact of the Initial Polarization and Phase Difference on the Quasi-Particle Dynamics of Linearly and Non-Linearly CNSEs, Seminar of the Laboratory of Solitons, Coherence, and Geometry, Institute for Nuclear Research and Nuclear Energy, BAS, Sofia, Bulgaria, October 4, 2011.

M.D.Todorov, Investigation of the long-Time Evolution of Localized Solutions of a Dispersive Wave System, special session "Analysis and Simulations of Nonlinear Systems" at the 9th AIMS Conference, July 1-5, 2012, Orlando, FL, USA.

 

M.D.Todorov,Vector Schroedinger Equation: Quasi-Particle Concept of Evolution and Interaction of Solitary Waves, International Conference "Integrability, Recursion Operators&Soliton Interactions" in occasion of Vladimir Gerdjikov 65th birthday, Institute for Nuclear Research and Nuclear Energy, BAS, Sofia, Bulgaria, August 29-31, 2012.

 

M.D.Todorov, Polarized Soliton Solutions of Vector Schroedinger Equation as Propagating and Interacting Quasi-Particles, Lloyd Roeling /University of Louisiana at Lafayette Mathematics Conference dedicated to the memory of our friend and colleague Christo I. Christov, Lafayette, LA, USA, November2-4, 2012.

 

M.D.Todorov, Boussinesq Paradigm and Long-Time Evolution of Localized Solutions of Wave Systems. Consistency versus Integrability, Texas A&M-Commerce Computational Science Seminar, TX, November 6, 2012.

 

M.D.Todorov, Structure and Properties of Star in Presence of Massive Dilaton Field: Nonlinear Models and Results, Mathematical Science Colloquium, The University of Alabama in Huntsville, AL, November 12, 2012.

 

M.D.Todorov, Dispersive Wave System: Nonintegrability and Invariance, International Scientific Conference on Mechanics MECH2012, Institute of Mechanics, BAS, November 19-22, 2012.

 

M.D. Todorov, Solitonid Boussinesqi Vorrand, Seminar Mesossteemide teooria ja rakendused 2012-2016, Institute of Mathematics and Natural Sciences, Tallinn University (Estonia), December 6, 2012.

 

M.D. Todorov, Multisoliton Interaction for the Perturbed Manakov System, 8th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, USA, March 25-28, 2013.

 

M.D. Todorov, Vector Schroedinger Equation: Coupling, Polarization, Phase Difference, Quasi-Particle Dynamics, SELU at Hammond, Student Seminar, LA, USA, April 1, 2013.

 

M.D. Todorov, Multisoliton Interaction of Perturbed Manakov System: Effects of External Potentials, Advanced Material Research Institute and Physics Dept, UNO, New Orleans, LA, USA, April 5, 2013.

 

M.D. Todorov, Perturbation Approach and Solution for the 2D Shallow-Water Waves, Tulane University, Dept. of Mathematics, Special PDE seminar, New Orleans, LA, April 9, 2013.

 

M.D. Todorov, Wave Equations and Quasi-Particle Concept of Dynamics of Solitary Waves: Integrability vs. Consistency, Nonlinearity vs. Dispersion, Adiabatic Approximation, SELU at Hammond, Math Dept. Seminar, LA, USA, April 12, 2013.

 

M.D. Todorov, Boussinesq Paradigm and Long-Time Evolution and Interaction of Localized Solutions of Nonlinear Wave Systems.Consistency vs. Integrability, SELU at Hammond, Chemistry & Physics Dept, LA, USA, April 12, 2013.

 

M.D. Todorov, Generalized Wave Equations: Coupling, Polarization, Phase Difference, Quasi-Particle Dynamics of Localized Solutions, University of Jonkoping, Dept of Mathematics, Physics & Chemistry, Sweden, March 4, 2015.

 

M.D. Todorov, Multisoliton Interactions for the Manakov System under Composite External Potentials, Colloquium of the Department of Mathematics, College of Charleston, SC, USA, March 30, 2015.

 

M.D. Todorov, On N-soliton Interactions of Gross-Pitaevsky Equation in Two Space-Time Dimensions, 9th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, USA, April 1-4, 2015.

 

M.D. Todorov, Collision Dynamics of Vector Schroedinger Equation, VIII International Conference Dedicated to the 115th Anniversary of Academician M.A. Lavrentyev "Lavrentyev Readungs on Mathematics, and Physics", Novosibirsk, Russia, September 7-11, 2015.

 

M.D. Todorov, Vector Schrodinger Equation: Coupling, Polarization, Phase Difference, Quasi-Particle Dynamics, National Conference Mathematical Modeling and Mathematical Physics devoted to the 165th anniversary of the Sofia Kovalevskaya birth, Kremenchuk, Ukraine, September 22-25, 2015. (non-reported)

 

M.D. Todorov, Soliton Dynamics and Interaction of Vector Schroedinger Equation, Estonian Center of Excellence "Mesosystems - Theory and Applications," School of Natural Sciences and Health, Tallinn University (Estonia), September 24, 2015.

 

M.D. Todorov, Soliton Dynamics, Adiabaticity and Interaction of Vector Schroedinger Equation, 3rd International Conference on Structural Nonlinear Dynamics and Diagnosis, Marrakech (Morocco), May 23-25, 2016.

 

M.D. Todorov, Numerical Investigation of the Dynamics of High-Intensity Ultrashort Light Pulses, special session "Nonlinear Waves: Coherent Structures and Complex Dynamics", 11th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL, USA, July 1-5, 2016.

 

M.D. Todorov, Soliton Dynamics of the Nonlinear Wave and Dispersive Equations. Boussinesq Paradigm, Joint College of Arts & Sciences Research Seminar, Embrie-Riddle Aeronautical University, Daytona, FL, USA, July 11, 2016.

 

M.D. Todorov, Vector Schroedinger Equation: Quasi-Particle Concept of Evolution and Interaction of Solitary Waves, SIAM Conference on Nonlinear Waves and Coherent Structures, Philadelphia, PA, USA, August 9-11, 2016.

 

M.D. Todorov, System of Coupled Nonlinear Schrodinger Equations with Different Cross-Modulation Rates, The Tenth IMACS Intl Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, GA, USA, March 29-April 1, 2017.

 

M.D. Todorov, Localized Solutions of Generalized Wave Equations. Boussinesq Paradigm, Joint College of Arts & Sciences Research Seminar, Embrie-Riddle Aeronautical University, Daytona, FL, USA, April 5, 2017.

 

M.D. Todorov, Long-Time Dynamics and Interaction of Ultrashort Light Pulses, SIAM Conference on Dynamical Systems, Snowbird, UT, USA, May 21-25, 2017.

 

M.D. Todorov, Boussinesq Paradigm: Theory, Computer Simulation, Experiment, 6th All-Russian Conference with Foreign Participants "Free Boundary Problems: Theory, Experiment and Applications", Barnaul, Russia, August 7-11, 2017.

 

M.D. Todorov, Nonlinear Dispersive Waves Models: Computer Simulation and Experimental Observations, Annual International Conference "Days on Diffraction," St. Petersburg, Russia, June 4-8, 2018, Mini-symposium "Nonlinear Dispersive Waves: Models and Methods" (dedicated to the memory of Professor Alexander M. Samsonov).

 

M.D. Todorov, Long-Time Evolution and Interaction of Localized Solutions of Nonlinear Wave and Envelope Systems. Consistency vs. Integrability, special session "Analytical and Numerical Approaches in Soliton Theory", 12th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 5-9, 2018.

 

M.D. Todorov, Investigation of Soliton Model for Dynamics of Nerve Pulses, special session "Differential Equation Based Modeling for Brain and Other Complex Bio-Systems", 12th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 5-9, 2018.

 

M.D. Todorov, On N-soliton Interactions: Effects of Local and Non-local Potentials, The Eleventh IMACS Intl Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, GA, USA, April 17-19, 2019.

 

M.D. Todorov, On Multisoliton Solutions of Manakov System. Effects of External Potentials, University of Fresno, CA, USA, April 3, 2020. (via telebridge from San Diego)

 

M.D. Todorov, Coupled System of Nonlinear Schroedinger Equations: Nonlinearity and/or Integrability, School for Young Mechanicians and Mathematicians "Mathematical Methods of Mechanics," Moscow, Russia, November 12, 2020. (via telebridge from Sofia)

 

M.D. Todorov, How COVID Pandemic Accelerates the Modern Technology of Research and Education,Digital +/- Presence" Fulbright Bulgaria Online Conference, Sofia, Bulgaria, November 21, 2020. (via telebridge from Sofia)

 

M.D. Todorov, Vector Schroedinger Equation: Nonlinearity, Multidimensionality, Integrability. What to Prefer?, 15th Annual Meeting of the Bulgarian Section of SIAM, Sofia, Bulgaria, December 15, 2020. (via telebridge from Sofia)

 

E. Kobilskaya, V. Lyashenko, T. Hryhorova, O. Demyanchenko, and M.D.Todorov, Special Functions in Heat Transfer Problems, International Conference on Advanced Mechanical and Power Engineering (CAMPE-2021), Kharkiv, Ukraine, October 18-21, 2021. (via telebridge from Kremenchuk)

 

M.D. Todorov, Phenomenology of Schrodinger Equations: Coupling, Polarization, Phase Difference, Quasi-Particle Dynamics. Analytics vs/and Numerics, Mathematical Aspects of the Contemporary Continuum Mechanics, Steklov Mathematical Institute, Moscow, Russia, November 9, 2021. (via telebridge from Sofia)

 

M.D. Todorov, On the Effects of Local and Non-Local Potentials Interactions of Manakov Solitons; On Modeling the Soliton Interactions of NLS with Non-vanishing Boundary Conditions , The Twelfth IMACS Intl Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, GA, USA, March 30-April 1, 2022. (via telebridge from Sofia)

 

M.D. Todorov, Long-Time Evolution of Localized Solutions of Wave Systems: Integrability and Beyond Integrability; On the Solution of the Non-Ruin Probability Equation Arisen in the Extended Bivariate Polya-Aeppli Risk Model, Mathematics Days in Sofia, July 10-14, 2023, Bulgaria

 

M.D. Todorov, Boussinesq Paradigm and Long-Time Evolution of Localized Solutions of Wave Systems. Consistency versus Integrability, Tenth International Congress on Industrial and Applied Mathematics (ICIAM 2023), August 20-25, 2023, Waseda University, Tokyo, Japan

 

M.D. Todorov, Dynamics of Bright Soliton Solutions of System of Coupled Nonlinear Schrodinger Equations. Phenomenology, Integrability, Multidimension, December 6 2023, Dept of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - IMECC, University of Campinas - UNICAMP, SP, Brazil

 

M.D. Todorov, Dynamics of Bright Soliton Solutions of System of Coupled Nonlinear Schrodinger Equations, XI-th International Conference "Solitons, Collapses and Turbulence. Achievements, Developments and Perspectives," Belgrade, Serbia, July 1-5, 2024. non presented

 

M.D. Todorov, M.Lazarova, On a Method for Solving of Nonlinear Equations of Mathematical Physics in Multidimension, X-th International Conference of Mathematics and Computer Science "Congressio-Mathematica," Olsztyn, Poland, September 19-22, 2024.

 

RESEARCH PROJECTS
   

  1985-1986 

Numerical Computation of 3D Turbulent Boundary Layer of Incompressible Flow around Ship-like Body-Prolate Triaxial Ellipsoid

Bulgarian Ship Hydrodynamics Centre, Varna, Bulgaria

1985 

Development of Special Software for Treatment and Interpretation of geophysical Data on Microcomputer MC 1000-K

Research Laboratory "Progress", Sofia, Bulgaria

1988-1991

Self-organization in Non-linear Dynamic Systems. Coherent Structures in Turbulent Flows 

 Grant No 1052/88 of the Ministry of Science and Higher Education of Bulgaria

1991-1992 

Extremal Problems for Airfoils and Cascades

 Grant of the Ministry of Science and Higher Education of Bulgaria

1991-1994

Modelling of 2D Nonsteady Convective Clouds

 National Institute for Hydrology and Meteorology-Bulgarian Academy of Sciences

1996-1999

Numerical Investigation of Separated Inviscid Flows

 Grant No MM-602/96 of the Ministry of Education, Science and Technology of Bulgaria

2011-2014

Numerical and Analytic Methods for Finding of Localized Solutions of Generalized Wave Equations

  Grant No DDVU02/71 of the Scientific Fund by the Ministry of Education, Youth and Science of Bulgaria

2015-2017

Theoretical and Numerical Investigation of Nonlinear Mathematical Models

  Grant No DFNI I-02_9 of the Scientific Fund by the Ministry of Education and Science of Bulgaria

2020

Soliton Dynamics of Nonlinear Integrable and Nonintegrable Systems

  Grant No 19-21-07 of Fulbright - Bulgarian-American Commission for Educational Exchange

2023

Localized Solutions of Soliton Supporting Dynamical Systems

  Sao Paulo Research Foundation - FAPESP, Proc. No. 2022/10525-2

 

 

AREAS OF PROFESSIONAL ACTIVITIES AND RESEARCH

I. Methods for Numerical Solving Nonlinear, Eigenvalue Boundary Problems, and Initial Problems

1. Inviscid Separated Flows

2. High Re Navier-Stokes equations

3. Meteorological Convective Processes

4. Josephson Junctions

5. Astrophysics, Gravity, Black Holes

6. Nonlinear Optics and Wave Phenomena

7. Mathematical Biology

 

II. Educational Technology

1. Software Innovations in Methodology for the Higher Mathematics Education

2. Modern Publishing Processing

 

LANGUAGES

Bulgarian, native language

Russian, fluent spoken and written

English, good level

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