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Works cited by this work

23 works

Work: Exploring solutions for the negative-order modified Korteweg–de Vries equation with a self-consistent source corresponding to moving eigenvalues

  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. On the Modified Korteweg–De-Vries Equation with Loaded Term

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

  4. On the sine-Gordon equation with a self-consistent source corresponding to multiple eigenvalues

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsDifferential Equations200717 citations
    ABI

  5. The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

    Mark J. Ablowitz, D. J. Kaup, Alan C. Newell +1

    Article197417 citations
    ABI

  6. Negative powers of Olver recursion operators

    John M. Verosky

    Article199114 citations
    ABI

  7. Integration of negative-order modified Korteweg–de Vries equation in a class of periodic functions

    G. U. Urazboev, A. B. Yakhshimuratov, М. М. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202312 citations
    ABI

  8. The Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197311 citations
    ABI

  9. Negative order MKdV hierarchy and a new integrable Neumann-like system

    Zhijun Qiao, Walter Strampp

    Article20028 citations
    ABI

  10. Breather solutions of a negative order modified Korteweg-de Vries equation and its nonlinear stability

    Jingqun Wang, Lixin Tian, Yingnan Zhang

    Article20198 citations
    ABI

  11. Soliton solutions of the negative-order nonlinear Schrödinger equation

    G. U. Urazboev, Iroda Ismailovna Baltaeva, A. K. Babadjanova

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics20247 citations
    ABI

  12. Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations

    Abdul–Majid Wazwaz

    Article20187 citations
    ABI

  13. Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source

    G. U. Urazboev, U. A. Xoitmetov, A. K. Babadjanova

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics20207 citations
    ABI

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

    F. Demontis

    Article20117 citations
    ABI

  15. Creation and annihilation of solitons in the system described by the Korteweg-de Vries equation with a self-consistent source

    V. K. Mel’nikov

    Article19905 citations
    ABI

  16. Negative‐order modified KdV equations: multiple soliton and multiple singular soliton solutions

    Abdul–Majid Wazwaz, Guiqiong Xu

    Article20155 citations
    ABI

  17. Soliton Solutions of the Negative Order Modified Korteweg – de Vries Equation

    G. U. Urazboev, Iroda Ismailovna Baltaeva, Sh. E. Atanazarova

    Article20245 citations
    ABI

  18. The Cauchy Problem for the Nonlinear Complex Modified Korteweg-de Vries Equation with Additional Terms in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, T. G. Khasanov

    ArticleNonlinear Waves and SolitonsSiberian Mathematical Journal20244 citations
    ABI

  19. General soliton solutions to a coupled Fokas–Lenells equation

    Liming Ling, Bao‐Feng Feng, Zuo-Nong Zhu

    Article20174 citations
    ABI

  20. Negative-order integrable modified KdV equations of higher orders

    Abdul–Majid Wazwaz

    Article20184 citations
    ABI

  21. Analysis of the solitary wave solutions of the negative order modified Korteweg –de Vries equation with a self-consistent source

    G. U. Urazboev, Iroda Ismailovna Baltaeva, Sh. E. Atanazarova

    ArticleNonlinear Waves and SolitonsPartial Differential Equations in Applied Mathematics20253 citations
    ABI

  22. Inverse scattering method via the Gel’fand–Levitan–Marchenko equation for some negative-order nonlinear wave equations

    Mansur I. Ismailov, Cihan Sabaz

    Article20253 citations
    ABI

  23. A symmetry approach to exactly solvable evolution equations

    A. S. Fokas

    Article19802 citations
    ABI