Skip to main content
AkademIndex

Products

For developers

AkademBasesoonOpen API for the ecosystem
Latin
← Back to work

Works cited by this work

28 works

Work: Integration of the Modified Korteweg-de Vries Equation with Time-Dependent Coefficients and a Self-Consistent Source

  1. Method for Solving the Korteweg-deVries Equation

    Clifford S. Gardner, J. M. Greene, Martin D. Kruskal +1

    Article196758 citations
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Article196848 citations
    ABI

  3. The Exact Solution of the Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197234 citations
    ABI

  4. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media

    В. Е. Захаров, A. B. Shabat

    Article197030 citations
    ABI

  5. On Integration of the Loaded mKdV Equation in the Class of Rapidly Decreasing Functions

    А. Б. Хасанов, U. A. Hoitmetov

    Article202125 citations
    ABI

  6. Integration of the General Loaded Korteweg–de Vries Equation with an Integral Type Source in the Class of Rapidly Decreasing Complex-Valued Functions

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsRussian Mathematics202118 citations
    ABI

  7. Solitons and Nonlinear Wave Equations

    R. K. Dodd, Hedley Morris, J. C. Eilbeck +1

    Book198217 citations
    ABI

  8. ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS

    Aknazar Hasanov, U. A. Hoitmetov, L Faddeev +24

    ArticleElectromagnetic Simulation and Numerical MethodsProceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan202113 citations
    ABI

  9. The Application of the Functional Variable Method for Solving the Loaded Non-linear Evaluation Equations

    Bazar Babajanov, Fakhriddin Abdikarimov

    ArticleNonlinear Waves and SolitonsFrontiers in Applied Mathematics and Statistics202211 citations
    ABI

  10. On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsDifferential Equations202211 citations
    ABI

  11. Integration of mKdV Equation with a Self-Consistent Source in the Class of Finite Density Functions in the Case of Moving Eigenvalues

    K. A. Mamedov

    ArticleNonlinear Waves and SolitonsRussian Mathematics20209 citations
    ABI

  12. Integration of the Loaded KdV Equation with a Self-Consistent Source of Integral Type in the Class of Rapidly Decreasing Complex-Valued Functions

    U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics20227 citations
    ABI

  13. Exact solutions of the modified Korteweg-de Vries equation

    F. Demontis

    Article20117 citations
    ABI

  14. Exact solutions to the modified Korteweg-de Vries equation

    Francesco Demontis

    Article20166 citations
    ABI

  15. Exact Solution of the <i>Modified</i> Korteweg-de Vries Equation for Multiple Collisions of Solitons

    Ryogo Hirota

    Article19726 citations
    ABI

  16. INTEGRATION OF THE LOADED GENERAL KORTEWEG-DE VRIES EQUATION IN TNE CLASS OF RAPIDLY DECREASING COMPLEX-VALUED FUNCTIONS

    U. A. Hoitmetov

    Article20226 citations
    ABI

  17. Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation

    Jianping Wu, Xianguo Geng

    Article20175 citations
    ABI

  18. Lie symmetries and exact solutions of variable coefficient mKdV equations: An equivalence based approach

    Olena Vaneeva

    Article20114 citations
    ABI

  19. Asymptotic Theory of Self-Trapping of Heat Pulses in Solids

    F. D. Tappert, C. M. Varma

    Article19704 citations
    ABI

  20. Bäcklund Transformations and Exact Solutions for Alfvén Solitons in a Relativistic Electron–Positron Plasma

    A. H. Khater, O. H. El‐Kalaawy, D. K. Callebaut

    Article19983 citations
    ABI

  21. Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

    Norman J. Zabusky, Martin D. Kruskal

    Article19652 citations
    ABI

  22. Solitons and the Inverse Scattering Transform

    Harvey Segur

    Report19802 citations
    ABI

  23. Solutions to the modified Korteweg–de Vries equation

    Da‐jun Zhang, Song‐lin Zhao, Ying‐ying Sun +1

    Review article20142 citations
    ABI

  24. Parametrically controlling solitary wave dynamics in the modified Korteweg-de Vries equation

    Kallol Pradhan, Prasanta K. Panigrahi

    Article20062 citations
    ABI

  25. Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations

    Xiaoxiao Zheng, Yadong Shang, Yong Huang

    Article20132 citations
    ABI