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Works cited by this work

30 works

Work: Integration of the Negative Order Nonlinear Schrödinger Equation in the Class of Periodic Functions

  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. Sturm—Liouville and Dirac Operators

    B. M. Levitan, I. S. Sargsjan

    Book199120 citations
    ABI

  3. The Nonlinear Schrödinger Equation with a Self-consistent Source in the Class of Periodic Functions

    A. B. Yakhshimuratov

    ArticleNonlinear Waves and SolitonsMathematical Physics Analysis and Geometry201117 citations
    ABI

  4. Negative powers of Olver recursion operators

    John M. Verosky

    Article199114 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. Negative-order KdV equation with both solitons and kink wave solutions

    Zhijun Qiao, Jibin Li

    Article201110 citations
    ABI

  7. Negative-order Korteweg–de Vries equations

    Zhijun Qiao, Engui Fan

    Article201210 citations
    ABI

  8. Evolution equations possessing infinitely many symmetries

    Peter J. Olver

    Article197710 citations
    ABI

  9. Integration Of A Higher-Order Nonlinear SchröDinger System with a Self-Consistent Source in the Class of Periodic Functions

    A. B. Yakhshimuratov

    ArticleDifferential Equations and Numerical MethodsTheoretical and Mathematical Physics20209 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. Untitled

    Other8 citations
    ABI

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

    Zhijun Qiao, Walter Strampp

    Article20028 citations
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  15. Breather solutions of a negative order modified Korteweg-de Vries equation and its nonlinear stability

    Jingqun Wang, Lixin Tian, Yingnan Zhang

    Article20198 citations
    ABI

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

    Abdul–Majid Wazwaz

    Article20178 citations
    ABI

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

    Sen‐Yue Lou

    Article19948 citations
    ABI

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

    Song‐lin Zhao, Ying‐ying Sun

    Article20167 citations
    ABI

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

    Jinbing Chen

    Article20177 citations
    ABI

  20. 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

  21. Integration of the KdV equation of negative order with a free term in the class of periodic functions

    М. М. Хасанов, I. D. Rakhimov

    ArticleNonlinear Waves and SolitonsЧебышевский сборник20234 citations
    ABI

  22. Untitled

    Other4 citations
    ABI

  23. Nonlinear Dispersive Waves

    Mark J. Ablowitz

    Book20114 citations
    ABI

  24. Exact integration of nonlinear Schrödinger equation

    A. R. Its, A. V. Rybin, M. A. Sall'

    Article19884 citations
    ABI

  25. Algebrogeometric solutions of a boundary-value problem for the nonlinear Schr�dinger equation

    R. F. Bikbaev, A. R. Its

    Article19894 citations
    ABI