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Works cited by this work

25 works

Work: Soliton solutions of the negative-order nonlinear Schrödinger equation

  1. 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

  2. Negative powers of Olver recursion operators

    John M. Verosky

    Article199114 citations
    ABI

  3. 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

  4. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion

    Akira Hasegawa, F. D. Tappert

    Article197311 citations
    ABI

  5. 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

  6. The Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197311 citations
    ABI

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

    Zhijun Qiao, Jibin Li

    Article201110 citations
    ABI

  8. Negative-order Korteweg–de Vries equations

    Zhijun Qiao, Engui Fan

    Article201210 citations
    ABI

  9. Evolution equations possessing infinitely many symmetries

    Peter J. Olver

    Article197710 citations
    ABI

  10. Integration of the Negative Order Korteweg-de Vries Equation with a Special Source

    Urgench State Univeresity, G. U. Urazboev, М. М. Хасанов +3

    Article20239 citations
    ABI

  11. Untitled

    Other9 citations
    ABI

  12. Negative Order KdV Equation with No Solitary Traveling Waves

    Miguel Rodriguez, Jing Li, Zhijun Qiao

    Article20219 citations
    ABI

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

    Jingqun Wang, Lixin Tian, Yingnan Zhang

    Article20198 citations
    ABI

  14. Negative-order KdV equations in (3+1) dimensions by using the KdV recursion operator

    Abdul–Majid Wazwaz

    Article20178 citations
    ABI

  15. A Discrete Negative Order Potential Korteweg–de Vries Equation

    Song‐lin Zhao, Ying‐ying Sun

    Article20167 citations
    ABI

  16. Quasi-periodic solutions to a negative-order integrable system of 2-component KdV equation

    Jinbing Chen

    Article20177 citations
    ABI

  17. Integration of the negative order Korteweg-de Vries equation by the inverse scattering method

    G. U. Urazboev, Iroda Ismailovna Baltaeva, O. B. Ismoilov

    ArticleNonlinear Waves and SolitonsVestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki20237 citations
    ABI

  18. Nonlinear Dispersive Waves

    Mark J. Ablowitz

    Book20114 citations
    ABI

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

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

    Article20174 citations
    ABI

  20. Soliton Solutions for a Negative Order AKNS Equation

    Jie Ji, Song‐lin Zhao, Da‐jun Zhang

    Article20083 citations
    ABI

  21. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. II. Normal dispersion

    Akira Hasegawa, F. D. Tappert

    Article19733 citations
    ABI

  22. A new integrable equation combining the modified KdV equation with the negative-order modified KdV equation: multiple soliton solutions and a variety of solitonic solutions

    Abdul–Majid Wazwaz

    Article20172 citations
    ABI

  23. Untitled

    Other2 citations
    ABI

  24. Inverse scattering method via Gel'fand--Levitan--Marchenko equation for some negative order nonlinear wave equations

    Mansur I. Ismailov, Cihan Sabaz

    Preprint20222 citations
    ABI

  25. Untitled

    Other1 citations
    ABI