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Works cited by this work

25 works

Work: Integration of the negative order Korteweg-de Vries equation by the inverse scattering method

  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. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Book198717 citations
    ABI

  4. Negative powers of Olver recursion operators

    John M. Verosky

    Article199114 citations
    ABI

  5. Integration of a loaded Korteweg-de Vries equation in a class of periodic functions

    A. B. Yakhshimuratov, M. M. Matyokubov

    ArticleNonlinear Waves and SolitonsRussian Mathematics201613 citations
    ABI

  6. Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsRussian Mathematics200912 citations
    ABI

  7. Integration of the negative order Korteweg–de Vries equation with a self-consistent source in the class of periodic functions

    G. U. Urazboev, Hasanov M.M.

    ArticleSpectral Theory in Mathematical PhysicsVestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki202211 citations
    ABI

  8. Negative-order KdV equation with both solitons and kink wave solutions

    Zhijun Qiao, Jibin Li

    Article201110 citations
    ABI

  9. Negative-order Korteweg–de Vries equations

    Zhijun Qiao, Engui Fan

    Article201210 citations
    ABI

  10. Untitled

    Other9 citations
    ABI

  11. Negative Order KdV Equation with No Solitary Traveling Waves

    Miguel Rodriguez, Jing Li, Zhijun Qiao

    Article20219 citations
    ABI

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

    Zhijun Qiao, Walter Strampp

    Article20028 citations
    ABI

  13. Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations

    Sen‐Yue Lou

    Article19948 citations
    ABI

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

    Abdul–Majid Wazwaz

    Article20187 citations
    ABI

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

    Abdul–Majid Wazwaz, Guiqiong Xu

    Article20155 citations
    ABI

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

    Abdul–Majid Wazwaz

    Article20184 citations
    ABI

  17. Integration of the Harry Dym equation with an integral type source

    G. U. Urazboev, A. K. Babadjanova, Dilbar Saparbaeva

    Articleadvanced mathematical theoriesVestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki20214 citations
    ABI

  18. Integration of Camassa-Holm equation with a self-consistent source of integral type

    G. U. Urazboev, Iroda Ismailovna Baltaeva

    ArticleNonlinear Waves and SolitonsUfimskii Matematicheskii Zhurnal20223 citations
    ABI

  19. Integration of the Matrix Nonlinear Schr¨odinger Equation with a Source

    G. U. Urazboev, Anvar Reyimberganov, A. K. Babadjanova

    Article20212 citations
    ABI

  20. On a Riemann–Hilbert problem for the negative-order KdV equation

    Shengyang Yuan, Xu Jian

    Article20222 citations
    ABI

  21. Untitled

    Other1 citations
    ABI

  22. Untitled

    Other1 citations
    ABI

  23. Untitled

    Other1 citations
    ABI

  24. Untitled

    Other1 citations
    ABI

  25. Integration of the periodic Harry Dym equation with a source

    G. U. Urazboev, A. K. Babadjanova, T.A. Zhuaspayev

    ArticleMatrix Theory and AlgorithmsWave Motion20221 citations
    ABI