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
Works at MEPhI since 1974
Work Experience: 51 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
    Painleve Test, First Integrals and Exact Solutions of Nonlinear Dissipative Differential Equations // Regular and Chaotic Dynamics, 2025 Vol. 30, No. 5, Q2 pp. 819-836 doi
  2. Article
    Web of Science & Scopus
    Exact Solutions and Reductions of the Nonlinear Schrodinger Equation of General Form // Doklady Mathematics, 2025 Vol. 111, No. 2, Q3 pp. 134-137 doi
  3. Article
    Web of Science & Scopus
    Numerical Simulation of the Generalized Chavy-Waddy-Kolokolnikov Model // AIP Conference Proceedings, 2025 Vol. 3315 doi
  4. Article
    Web of Science & Scopus
    On method of finding solitary wave solutions for differential equations with arbitrary order pole // AIP Conference Proceedings, 2025 Vol. 3315 doi
  5. Article
    Web of Science & Scopus
    Painleve test, first integrals and analytical solutions of the Korteweg–de Vries–Burgers equation with a nonlinear source // Chaos, Solitons and Fractals, 2025 Vol. 201 doi
  6. Article
    Web of Science & Scopus
    Conservation laws and exact solutions of the generalized Fokas–Lenells equation // Journal of Optics (India), 2025 doi
  7. Article
    Web of Science & Scopus
    Green’s Function for the Cauchy Problem to the Dissipative Linear Evolution Equation of Arbitrary Order // Mathematics, 2025 Vol. 13, No. 18 doi
  8. Article
    Web of Science & Scopus
    Painleve analysis, conservation laws and exact solutions of the fourth-order nonlinear Schrodinger equation // European Physical Journal Plus, 2025 Vol. 140, No. 8
  9. Article
    Web of Science & Scopus
    Solitary Waves of Burgers Hierarchy Equations // Computational Mathematics and Mathematical Physics, 2025 Vol. 65, No. 5, Q3 pp. 995-1003 doi
  10. Article
    Web of Science & Scopus
    Nonlinear Schrodinger equations of general form and their exact solutions // Applied Mathematics Letters, 2025 Vol. 170 doi
  11. Article
    Web of Science & Scopus
    Families of nonlinear Schrodinger equations in general form with exact solutions // Physics Letters, Section A: General, Atomic and Solid State Physics, 2025 Vol. 552 doi
  12. 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, Q2 doi
  13. 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, TOP10 doi
  14. Article
    Web of Science & Scopus
    Exact solutions and reductions of nonlinear Schrodinger equations with delay // Journal of Computational and Applied Mathematics, 2025 Vol. 462, Q1 doi
  15. 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, TOP10 doi
  16. Article
    Web of Science & Scopus
    Nonlinear Schrodinger Equations with Delay: Closed-Form and Generalized Separable Solutions // Contemporary Mathematics (Singapore), 2024 Vol. 5, No. 4, Q3 pp. 5783-5794 doi
  17. 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
  18. Article
    Web of Science & Scopus
    Painleve Analysis and Chiral Solitons from Quantum Hall Effect // Contemporary Mathematics (Singapore), 2024 Vol. 5, No. 4, Q3 pp. 4384-4398 doi
  19. Article
    Web of Science & Scopus
    Conservation laws of a generalized model for propagation pulses with four power nonlinearities // Optik, 2024 Vol. 315, Q2 doi
  20. Article
    Web of Science & Scopus
    Bifurication analysis, chaotic behaviors and optical solitons with cubic-quintic-septic-nonic nonlinearity // Nonlinear Dynamics, 2024 TOP10 doi
  21. 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
  22. 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
  23. Article
    Web of Science & Scopus
    Painleve analysis of the resonant third-order nonlinear Schrodinger equation // Applied Mathematics Letters, 2024 Vol. 158, TOP10 doi
  24. 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
  25. Article
    Web of Science & Scopus
    From conservation laws of generalized Schrodinger equations to exact solutions // Journal of Optics (India), 2024 Q4 doi
  26. 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
  27. 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
  28. Article
    Web of Science & Scopus
    Solitons of the complex modified Korteweg–de Vries hierarchy // Chaos, Solitons and Fractals, 2024 Vol. 184, TOP10 doi
  29. 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
  30. Article
    Web of Science & Scopus
    Traveling wave solutions of the derivative nonlinear Schrodinger hierarchy // Applied Mathematics and Computation, 2024 Vol. 477, TOP10 doi
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. Article
    Web of Science & Scopus
    Optical solitons for the concatenation model: Power-law nonlinearity // Chaos, Solitons and Fractals, 2023 Vol. 177, TOP10 doi
  39. 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
  40. Article
    Web of Science & Scopus
    Strain Rate Hardening at Adiabatic Shear Bands Formation // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  41. Article
    Web of Science & Scopus
    Properties of Roots to the Generalized Hermite Polynomials // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  42. 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
  43. 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
  44. Article
    Web of Science & Scopus
    Analytical solutions of the generalized Kaup–Newell equation // Optik, 2023 Vol. 293, Q2 doi
  45. 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
  46. 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
  47. 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
  48. 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
  49. 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
  50. RSCI CONSERVATION LAWS OF THE MATHEMATICAL MODEL WITH UNRESTRICTED DISPERSION AND POLYNOMIAL NONLINEARITY // 2023 pp. 131
  51. RSCI NUMERICAL SIMULATION OF PLASTIC FLOW LOCALIZATION IN STEEL, ALUMINIUM AND DEPLETED URANIUM // 2023 pp. 146
  52. RSCI EXACTANDNUMERICALSOLUTIONSOFTHEMODEL DESCRIBED BY THE FOURTH ORDER GENERALIZED NONLINEAR SHRÖDINGER EQUATION WITH CUBIC-QUINTIC-SEPTIC-NONIC FORM OF NONLINEARITY // 2023 pp. 106
  53. RSCI NUMERICAL SOLUTION OF THE PROBLEM, DESCRIBED BY GENERALIZED NONLINEAR SHCRODINGER EQUATION WITH PERTURBED INITIAL CONDITIONS // 2023 pp. 114
  54. RSCI ANALYTICAL SOLUTION OF THE GENERALIZEDNONLINEAR SCHRÖDINGER EQUATION EXPRESSED VIA LAMBERT FUNCTION // 2023 pp. 120
  55. RSCI MELNIKOV METHOD APPLIED TO THE STUDY OF DYNAMICS OF THE GENERALIZED COMPLEX GINZBURG-LANDAU EQUATION UNDER SMALL PERTURBATIONS // 2023 pp. 121
  56. RSCI NUMERICAL STUDY OF SOLITON SOLUTIONS OF THE NONLINEAR SCHRODINGER EQUATION WITH TRIPLE NONLINEARITY // 2023 pp. 125
  57. 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
  58. Article
    Web of Science & Scopus
    Hamiltonians of the Generalized Nonlinear Schrodinger Equations // Mathematics, 2023 Vol. 11, No. 10, Q1 doi
  59. Article
    Web of Science & Scopus
    Mathematical model with unrestricted dispersion and polynomial nonlinearity // Applied Mathematics Letters, 2023 Vol. 138, TOP10 doi
  60. Article
    Web of Science & Scopus
    Painleve analysis and optical solitons for a concatenated model // Optik, 2023 Vol. 272, Q2 doi
  61. Article
    Web of Science & Scopus
    Dispersive optical solitons of the generalized Schrodinger–Hirota model // Optik, 2023 Vol. 272, Q2 doi
  62. 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
  63. 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
  64. 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
  65. 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
  66. 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
  67. Article
    Web of Science & Scopus
    Bright solitons of the model with arbitrary refractive index and unrestricted dispersion // Optik, 2022 Vol. 270, Q2 doi
  68. Article
    Web of Science & Scopus
    Exact solutions of equation for description of embedded solitons // Optik, 2022 Vol. 268, Q2 doi
  69. 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
  70. 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
  71. RSCI PROGRAM CODE FOR TESTING POLYNOMIALS ASSOCIATED WITH POINT VORTICES ON THE PLANE // 2022 pp. 97
  72. RSCI APPLICATION OF MELNIKOV S METHOD FOR EVALUATION OF CHAOS IN A NONLINEAR SATURABLE MEDIUM // 2022 pp. 107
  73. RSCI NUMERICAL MODELLING OF TWO WAVES INTERACTION DESCRIBING BY THE GENERALIZED NONLINEAR SCHRODINGER EQUATION // 2022 pp. 103
  74. 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
  75. 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
  76. Article
    Web of Science & Scopus
    Solitary waves of model with triple arbitrary power and non-local nonlinearity // Optik, 2022 Vol. 262, Q2 doi
  77. 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
  78. 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
  79. Article
    Web of Science & Scopus
    Method for finding optical solitons of generalized nonlinear Schrodinger equations // Optik, 2022 Vol. 261, Q2 doi
  80. Article
    Web of Science & Scopus
    Preface of the Methods of Nonlinear Mathematical Physics // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  81. 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
  82. 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
  83. 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
  84. 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
  85. 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
  86. 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
  87. 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
  88. Article
    Web of Science & Scopus
    Stationary solitons of the model with nonlinear chromatic dispersion and arbitrary refractive index // Optik, 2022 Vol. 259, Q2 doi
  89. Article
    Web of Science & Scopus
    Optical solitons of the model with generalized anti-cubic nonlinearity // Optik, 2022 Vol. 257, Q2 doi
  90. 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
  91. Article
    Web of Science & Scopus
    Dynamical properties of the periodically perturbed Triki–Biswas equation // Optik, 2022 Vol. 253, Q2 doi
  92. 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
  93. 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
  94. Article
    Web of Science & Scopus
    Optical solitons of nonlinear Schrodinger's equation with arbitrary dual-power law parameters // Optik, 2022 Vol. 252, Q2 doi
  95. 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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