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Works cited by this work

29 works

Work: On exact finite-gap solutions of the negative-order Korteweg–de Vries equation

  1. Method for Solving the Korteweg-deVries Equation

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

    Article196758 citations
    ABI

  2. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
    ABI

  3. Schrödinger operators with finite-gap spectrum and N-soliton solutions of the Korteweg-de Vries equation

    A. R. Its, V. B. Matveev

    Article197525 citations
    ABI

  4. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die Eigenwerte

    G.J.A. Borg

    Article194619 citations
    ABI

  5. On the inverse problem for Hill's operator

    H. Flaschka

    Article197518 citations
    ABI

  6. Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials

    Boris Dubrovin

    Article197514 citations
    ABI

  7. Negative powers of Olver recursion operators

    John M. Verosky

    Article199114 citations
    ABI

  8. 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

  9. A generalization of Borg's inverse theorem for Hill's equations

    Harry Hochstadt

    Article198412 citations
    ABI

  10. The spectrum of Hill's equation

    H. P. McKean, Pierre van Moerbeke

    Article197511 citations
    ABI

  11. Periodic solutions of the KdV equation

    Peter D. Lax

    Article197510 citations
    ABI

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

    Zhijun Qiao, Jibin Li

    Article201110 citations
    ABI

  13. Negative-order Korteweg–de Vries equations

    Zhijun Qiao, Engui Fan

    Article201210 citations
    ABI

  14. Evolution equations possessing infinitely many symmetries

    Peter J. Olver

    Article197710 citations
    ABI

  15. Negative Order KdV Equation with No Solitary Traveling Waves

    Miguel Rodriguez, Jing Li, Zhijun Qiao

    Article20219 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. 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

  19. The periodic problem for the Korteweg—de vries equation

    S P Novikov

    Article19747 citations
    ABI

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

    Song‐lin Zhao, Ying‐ying Sun

    Article20167 citations
    ABI

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

    Jinbing Chen

    Article20177 citations
    ABI

  22. 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

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

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

    Article20245 citations
    ABI

  24. THE PERIODIC KORTEWEG-de VRIES PROBLEM

    V A Marčenko

    Article19744 citations
    ABI

  25. Cuspons and Smooth Solitons of the Degasperis–Procesi Equation Under Inhomogeneous Boundary Condition

    Guoping Zhang, Zhijun Qiao

    Article20074 citations
    ABI