Personalities of MEPhI
NRNU MEPhI National Research Nuclear University MEPhI
  1. Faculty and Staff
  2. Kudryashov N.A.
Kudryashov N.A.

Kudryashov Nikolay A.

Degree: Doctor of Sciences in Physics and Mathematics

Head of Department

Department of applied mathematics

Chief Research Fellow

Department of applied mathematics
  • K-1106
  • 9991
Send message Spring 2025. Schedule
Works at MEPhI since 1974
Work Experience: 50 years

Education

1974 — National Research Nuclear University MEPhI

Courses

1. Analytical properties of nonlinear differential equations
2. Nonlinear Mathematical Models
3. Practical Training (Research Work)
4. Scientific Seminar

Publication activity

43
h-index (Web of Science)
51
h-index (Scopus)
50
h-index (РИНЦ)

Showing publications for last 3 years

  1. Article
    Web of Science & Scopus
    Exact solutions and conservation laws of the generalized Schrodinger–Hirota equation // Physics Letters, Section A: General, Atomic and Solid State Physics, 2025 Vol. 539 doi
  2. Article
    Web of Science & Scopus
    From metastable to stable states: Stability and explosion of pure-quartic soliton induced by the spectral filtering in fiber laser // Chaos, Solitons and Fractals, 2025 Vol. 192 doi
  3. Article
    Web of Science & Scopus
    Exact solutions and reductions of nonlinear Schrodinger equations with delay // Journal of Computational and Applied Mathematics, 2025 Vol. 462 doi
  4. Article
    Web of Science & Scopus
    Closed-form solutions of the nonlinear Schrodinger equation with arbitrary dispersion and potential // Chaos, Solitons and Fractals, 2025 Vol. 191 doi
  5. Article
    Web of Science & Scopus
    Nonlinear Schrodinger Equations with Delay: Closed-Form and Generalized Separable Solutions // Contemporary Mathematics (Singapore), 2024 Vol. 5, No. 4 pp. 5783-5794 doi
  6. Article
    Web of Science & Scopus
    Conservation laws for a perturbed resonant nonlinear Schrodinger equation in quantum fluid dynamics and quantum optics // Physics Letters, Section A: General, Atomic and Solid State Physics, 2024 Vol. 528, Q2 doi
  7. Article
    Web of Science & Scopus
    Painleve Analysis and Chiral Solitons from Quantum Hall Effect // Contemporary Mathematics (Singapore), 2024 Vol. 5, No. 4 pp. 4384-4398 doi
  8. Article
    Web of Science & Scopus
    Conservation laws of a generalized model for propagation pulses with four power nonlinearities // Optik, 2024 Vol. 315, Q2 doi
  9. Article
    Web of Science & Scopus
    Bifurication analysis, chaotic behaviors and optical solitons with cubic-quintic-septic-nonic nonlinearity // Nonlinear Dynamics, 2024 TOP10 doi
  10. Article
    Web of Science & Scopus
    Painleve analysis of the Sasa–Satsuma equation // Physics Letters, Section A: General, Atomic and Solid State Physics, 2024 Vol. 525, Q2 doi
  11. Article
    Web of Science & Scopus
    Pure-quartic soliton attracted state and multi-soliton molecules in mode-locked fiber lasers // Chaos, Solitons and Fractals, 2024 Vol. 187, TOP10 doi
  12. Article
    Web of Science & Scopus
    Painleve analysis of the resonant third-order nonlinear Schrodinger equation // Applied Mathematics Letters, 2024 Vol. 158, TOP10 doi
  13. Article
    Web of Science & Scopus
    Prediction of symmetric and asymmetric solitons and model parameters for nonlinear Schrodinger equations with competing nonlinearities // Chaos, Solitons and Fractals, 2024 Vol. 186, TOP10 doi
  14. Article
    Web of Science & Scopus
    From conservation laws of generalized Schrodinger equations to exact solutions // Journal of Optics (India), 2024 Q4 doi
  15. Article
    Web of Science & Scopus
    Painleve Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrodinger Equation // Mathematics, 2024 Vol. 12, No. 11, Q1 doi
  16. Article
    Web of Science & Scopus
    Analytical solutions and conservation laws of the generalized nonlinear Schrodinger equation with anti-cubic and cubic-quintic-septic nonlinearities // Optical and Quantum Electronics, 2024 Vol. 56, No. 7, Q2 doi
  17. Article
    Web of Science & Scopus
    Solitons of the complex modified Korteweg–de Vries hierarchy // Chaos, Solitons and Fractals, 2024 Vol. 184, TOP10 doi
  18. Article
    Web of Science & Scopus
    Analytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity // Optical and Quantum Electronics, 2024 Vol. 56, No. 7, Q2 doi
  19. Article
    Web of Science & Scopus
    Traveling wave solutions of the derivative nonlinear Schrodinger hierarchy // Applied Mathematics and Computation, 2024 Vol. 477, TOP10 doi
  20. Article
    Web of Science & Scopus
    Exact solutions and conservation laws of the fourth-order nonlinear Schrodinger equation for the embedded solitons // Optik, 2024 Vol. 303, Q2 doi
  21. Article
    Web of Science & Scopus
    Application of Machine Learning to Construct Solitons of Generalized Nonlinear Schrodinger Equation // Studies in Computational Intelligence, 2024 Vol. 1130 LNCS, Q4 pp. 759-766 doi
  22. Article
    Web of Science & Scopus
    Exploring the Efficiency of Neural Networks for Solving Dynamic Process Problems: The Fisher Equation Investigation // Studies in Computational Intelligence, 2024 Vol. 1130 LNCS, Q4 pp. 504-511 doi
  23. Article
    Web of Science & Scopus
    Properties of the generalized Chavy-Waddy–Kolokolnikov model for description of bacterial colonies // Communications in Nonlinear Science and Numerical Simulation, 2024 Vol. 128, TOPMEPHI doi
  24. Article
    Web of Science & Scopus
    Numerical study of the model described by the fourth order generalized nonlinear Schrodinger equation with cubic-quintic-septic-nonic nonlinearity // Journal of Computational and Applied Mathematics, 2024 Q1 doi
  25. Article
    Web of Science & Scopus
    On Features of Formation of Localized Shear Bands in Depleted Uranium // Physics of Atomic Nuclei, 2023 Vol. 86, No. 10, Q4 pp. 2241-2250 doi
  26. Article
    Web of Science & Scopus
    On Specific Features of an Approach Based on Feedforward Neural Networks to Solve Problems Based on Differential Equations // Physics of Atomic Nuclei, 2023 Vol. 86, No. 10, Q4 pp. 2231-2240 doi
  27. Article
    Web of Science & Scopus
    Optical solitons for the concatenation model: Power-law nonlinearity // Chaos, Solitons and Fractals, 2023 Vol. 177, TOP10 doi
  28. Article
    Web of Science & Scopus
    Bifurcations of Phase Portraits, Exact Solutions and Conservation Laws of the Generalized Gerdjikov–Ivanov Model // Mathematics, 2023 Vol. 11, No. 23, Q1 doi
  29. Article
    Web of Science & Scopus
    Strain Rate Hardening at Adiabatic Shear Bands Formation // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  30. Article
    Web of Science & Scopus
    Properties of Roots to the Generalized Hermite Polynomials // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  31. Article
    Web of Science & Scopus
    Automation of Processes Related to the Modeling of Equilibrium Configurations of Point Vortices // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  32. Article
    Web of Science & Scopus
    Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity // Physics Letters, Section A: General, Atomic and Solid State Physics, 2023 Vol. 490, Q2 doi
  33. Article
    Web of Science & Scopus
    Analytical solutions of the generalized Kaup–Newell equation // Optik, 2023 Vol. 293, Q2 doi
  34. Article
    Web of Science & Scopus
    Painleve Test, Phase Plane Analysis and Analytical Solutions of the Chavy-Waddy-Kolokolnikov Model for the Description of Bacterial Colonies // Mathematics, 2023 Vol. 11, No. 14, TOP10 doi
  35. Article
    Web of Science & Scopus
    Conservation laws and Hamiltonians of the mathematical model with unrestricted dispersion and polynomial nonlinearity // Chaos, Solitons and Fractals, 2023 Vol. 175, TOP10 doi
  36. Article
    Web of Science & Scopus
    Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation // Optical and Quantum Electronics, 2023 Vol. 55, No. 10, Q2 doi
  37. Article
    Web of Science & Scopus
    Conservation laws of the complex Ginzburg-Landau equation // Physics Letters, Section A: General, Atomic and Solid State Physics, 2023 Vol. 481, Q2 doi
  38. Article
    Web of Science & Scopus
    Numerical studies of self-organization of shear bands in one and two dimensions // Communications in Nonlinear Science and Numerical Simulation, 2023 Vol. 125, TOPMEPHI doi
  39. RSCI CONSERVATION LAWS OF THE MATHEMATICAL MODEL WITH UNRESTRICTED DISPERSION AND POLYNOMIAL NONLINEARITYCONSERVATION LAWS OF THE MATHEMATICAL MODEL WITH UNRESTRICTED DISPERSION AND POLYNOMIAL NONLINEARITY // 2023 pp. 131
  40. RSCI NUMERICAL SIMULATION OF PLASTIC FLOW LOCALIZATION IN STEEL, ALUMINIUM AND DEPLETED URANIUMNUMERICAL SIMULATION OF PLASTIC FLOW LOCALIZATION IN STEEL, ALUMINIUM AND DEPLETED URANIUM // 2023 pp. 146
  41. RSCI EXACTANDNUMERICALSOLUTIONSOFTHEMODEL DESCRIBED BY THE FOURTH ORDER GENERALIZED NONLINEAR SHRÖDINGER EQUATION WITH CUBIC-QUINTIC-SEPTIC-NONIC FORM OF NONLINEARITYEXACTANDNUMERICALSOLUTIONSOFTHEMODEL DESCRIBED BY THE FOURTH ORDER GENERALIZED NONLINEAR SHRÖDINGER EQUATION WITH CUBIC-QUINTIC-SEPTIC-NONIC FORM OF NONLINEARITY // 2023 pp. 106
  42. RSCI NUMERICAL SOLUTION OF THE PROBLEM, DESCRIBED BY GENERALIZED NONLINEAR SHCRODINGER EQUATION WITH PERTURBED INITIAL CONDITIONSNUMERICAL SOLUTION OF THE PROBLEM, DESCRIBED BY GENERALIZED NONLINEAR SHCRODINGER EQUATION WITH PERTURBED INITIAL CONDITIONS // 2023 pp. 114
  43. RSCI ANALYTICAL SOLUTION OF THE GENERALIZEDNONLINEAR SCHRÖDINGER EQUATION EXPRESSED VIA LAMBERT FUNCTIONANALYTICAL SOLUTION OF THE GENERALIZEDNONLINEAR SCHRÖDINGER EQUATION EXPRESSED VIA LAMBERT FUNCTION // 2023 pp. 120
  44. RSCI MELNIKOV METHOD APPLIED TO THE STUDY OF DYNAMICS OF THE GENERALIZED COMPLEX GINZBURG-LANDAU EQUATION UNDER SMALL PERTURBATIONSMELNIKOV METHOD APPLIED TO THE STUDY OF DYNAMICS OF THE GENERALIZED COMPLEX GINZBURG-LANDAU EQUATION UNDER SMALL PERTURBATIONS // 2023 pp. 121
  45. RSCI NUMERICAL STUDY OF SOLITON SOLUTIONS OF THE NONLINEAR SCHRODINGER EQUATION WITH TRIPLE NONLINEARITYNUMERICAL STUDY OF SOLITON SOLUTIONS OF THE NONLINEAR SCHRODINGER EQUATION WITH TRIPLE NONLINEARITY // 2023 pp. 125
  46. Article
    Web of Science & Scopus
    Conservation laws and Hamiltonian of the nonlinear Schrodinger equation of the fourth order with arbitrary refractive index // Optik, 2023 Vol. 286, Q2 doi
  47. Article
    Web of Science & Scopus
    Hamiltonians of the Generalized Nonlinear Schrodinger Equations // Mathematics, 2023 Vol. 11, No. 10, Q1 doi
  48. Article
    Web of Science & Scopus
    Mathematical model with unrestricted dispersion and polynomial nonlinearity // Applied Mathematics Letters, 2023 Vol. 138, TOP10 doi
  49. Article
    Web of Science & Scopus
    Painleve analysis and optical solitons for a concatenated model // Optik, 2023 Vol. 272, Q2 doi
  50. Article
    Web of Science & Scopus
    Dispersive optical solitons of the generalized Schrodinger–Hirota model // Optik, 2023 Vol. 272, Q2 doi
  51. Article
    Web of Science & Scopus
    An estimative (warning) model for recognition of pandemic nature of virus infections // International Journal of Nonlinear Sciences and Numerical Simulation, 2023 Q2 doi
  52. Article
    Web of Science & Scopus
    Embedded Solitons of the Generalized Nonlinear Schrodinger Equation with High Dispersion // Regular and Chaotic Dynamics, 2022 Vol. 27, No. 6, Q1 pp. 680-696 doi
  53. Article
    Web of Science & Scopus
    Rational solitary waves and optical solitons of the model having unrestricted dispersion and nonlinearity with polynomial form // Optik, 2022 Vol. 271, Q2 doi
  54. Article
    Web of Science & Scopus
    Cubic–quartic optical solitons and conservation laws having cubic–quintic–septic–nonic self-phase modulation // Optik, 2022 Vol. 269, Q2 doi
  55. Article
    Web of Science & Scopus
    Optical Solitons of the Generalized Nonlinear Schrodinger Equation with Kerr Nonlinearity and Dispersion of Unrestricted Order // Mathematics, 2022 Vol. 10, No. 18, Q1 doi
  56. Article
    Web of Science & Scopus
    Bright solitons of the model with arbitrary refractive index and unrestricted dispersion // Optik, 2022 Vol. 270, Q2 doi
  57. Article
    Web of Science & Scopus
    Exact solutions of equation for description of embedded solitons // Optik, 2022 Vol. 268, Q2 doi
  58. Article
    Web of Science & Scopus
    Governed optical solitons of the generalized Schrodinger equation with dual-power law of refractive index // Optik, 2022 Vol. 266, Q2 doi
  59. Article
    Web of Science & Scopus
    Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity // Physics Letters, Section A: General, Atomic and Solid State Physics, 2022 Vol. 448, Q2 doi
  60. RSCI PROGRAM CODE FOR TESTING POLYNOMIALS ASSOCIATED WITH POINT VORTICES ON THE PLANEPROGRAM CODE FOR TESTING POLYNOMIALS ASSOCIATED WITH POINT VORTICES ON THE PLANE // 2022 pp. 97
  61. RSCI APPLICATION OF MELNIKOV S METHOD FOR EVALUATION OF CHAOS IN A NONLINEAR SATURABLE MEDIUMAPPLICATION OF MELNIKOV S METHOD FOR EVALUATION OF CHAOS IN A NONLINEAR SATURABLE MEDIUM // 2022 pp. 107
  62. RSCI NUMERICAL MODELLING OF TWO WAVES INTERACTION DESCRIBING BY THE GENERALIZED NONLINEAR SCHRODINGER EQUATIONNUMERICAL MODELLING OF TWO WAVES INTERACTION DESCRIBING BY THE GENERALIZED NONLINEAR SCHRODINGER EQUATION // 2022 pp. 103
  63. Article
    Web of Science & Scopus
    Complex dynamics of perturbed solitary waves in a nonlinear saturable medium: A Melnikov approach // Optik, 2022 Vol. 265, Q2 doi
  64. Article
    Web of Science & Scopus
    Exact solutions of the complex Ginzburg–Landau equation with law of four powers of nonlinearity // Optik, 2022 Vol. 265, Q2 doi
  65. Article
    Web of Science & Scopus
    Solitary waves of model with triple arbitrary power and non-local nonlinearity // Optik, 2022 Vol. 262, Q2 doi
  66. Article
    Web of Science & Scopus
    Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method // Chaos, Solitons and Fractals, 2022 Vol. 158, TOP10 doi
  67. Article
    Web of Science & Scopus
    Prediction of optical solitons using an improved physics-informed neural network method with the conservation law constraint // Chaos, Solitons and Fractals, 2022 Vol. 159, TOP10 doi
  68. Article
    Web of Science & Scopus
    Method for finding optical solitons of generalized nonlinear Schrodinger equations // Optik, 2022 Vol. 261, Q2 doi
  69. Article
    Web of Science & Scopus
    Preface of the Methods of Nonlinear Mathematical Physics // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  70. Article
    Web of Science & Scopus
    Nonlinear Dynamical Regimes of the Generalized Kuramoto-Sivashinsky Equation with Various Degrees of Nonlinearity // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  71. Article
    Web of Science & Scopus
    Painleve Analysis and Exact Solution to The Traveling Wave Reduction of Nonlinear Differential Equations for Describing Pulse in Optical Fiber // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  72. Article
    Web of Science & Scopus
    Explicit Formulas for General Solutions of Two Nonlinear Ordinary Differential Equations via Jacobi Elliptic Sine // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  73. Article
    Web of Science & Scopus
    Comparison of Some COVID-19 Data with Solutions of the SIR-model // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  74. Article
    Web of Science & Scopus
    Solitary Waves for the Sixth Order Nonlinear Differential Equation in Optical Fiber Bragg Grating // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  75. Article
    Web of Science & Scopus
    Traveling Wave Solutions of the Coupled Nonlinear Schrodinger Equation with Cubic-quintic-septic and Weak Non-local Nonlinearity // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  76. Article
    Web of Science & Scopus
    Highly dispersive optical solitons of the sixth-order differential equation with arbitrary refractive index // Optik, 2022 Vol. 259, Q2 doi
  77. Article
    Web of Science & Scopus
    Stationary solitons of the model with nonlinear chromatic dispersion and arbitrary refractive index // Optik, 2022 Vol. 259, Q2 doi
  78. Article
    Web of Science & Scopus
    Optical solitons of the model with generalized anti-cubic nonlinearity // Optik, 2022 Vol. 257, Q2 doi
  79. Article
    Web of Science & Scopus
    On solutions of one of the second-order nonlinear differential equation: An in-depth look and critical review // Optik, 2022 Vol. 255, Q2 doi
  80. Article
    Web of Science & Scopus
    Dynamical properties of the periodically perturbed Triki–Biswas equation // Optik, 2022 Vol. 253, Q2 doi
  81. Article
    Web of Science & Scopus
    Bright and dark solitons in a nonlinear saturable medium // Physics Letters, Section A: General, Atomic and Solid State Physics, 2022 Vol. 427, Q2 doi
  82. Article
    Web of Science & Scopus
    Stationary solitons of the generalized nonlinear Schrodinger equation with nonlinear dispersion and arbitrary refractive index // Applied Mathematics Letters, 2022 Vol. 128, TOP10 doi
  83. Article
    Web of Science & Scopus
    Optical solitons of nonlinear Schrodinger's equation with arbitrary dual-power law parameters // Optik, 2022 Vol. 252, Q2 doi
  84. Article
    Web of Science & Scopus
    Solitary waves described by a high-order system in optical fiber Bragg gratings with arbitrary refractive index // Mathematical Methods in the Applied Sciences, 2022 Vol. 45, TOP10 pp. 1072-1079 doi

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