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Works cited by this work

40 works

Work: Negative Order Modified Korteweg–de Vries–Liouville (nmKdV-L) Equation in the Class of Periodic Infinite-gap Functions

  1. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
    ABI

  2. Untitled

    Other29 citations
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  3. ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION

    A. O. Smirnov

    Article199527 citations
    ABI

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

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

  5. 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

  6. Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

    Plamen Djakov, Boris Mityagin

    Article200625 citations
    ABI

  7. Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

    H. P. McKean, Eugene Trubowitz

    Article197624 citations
    ABI

  8. Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations201521 citations
    ABI

  9. Integration of the Nonlinear Schrfinger Equation with an Additional Term in the Class of Periodic Functions

    Aknazar Hasanov, Mahir Hasanov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201921 citations
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  10. Integration of a defocusing nonlinear Schrödinger equation with additional terms

    Ulugbek Muminov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202220 citations
    ABI

  11. Sturm—Liouville and Dirac Operators

    B. M. Levitan, I. S. Sargsjan

    Book199120 citations
    ABI

  12. Almost Periodic Solutions of the KdV Equation

    Peter D. Lax

    Article197618 citations
    ABI

  13. Dubrovin equation for periodic Dirac operator on the half-line

    Evgeny Korotyaev, Dmitrii Mokeev

    Article202016 citations
    ABI

  14. Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions

    G. Mannonov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsSt Petersburg Mathematical Journal202316 citations
    ABI

  15. Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions

    А. Б. Хасанов, Kh. N. Normurodov, U. O. Khudaerov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202315 citations
    ABI

  16. Gaps of one dimensional periodic AKNS systems

    Benoît Grébert, Jean‐Claude Guillot

    Article199315 citations
    ABI

  17. 30 years of finite-gap integration theory

    V. B. Matveev

    Article200715 citations
    ABI

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

    Boris Dubrovin

    Article197514 citations
    ABI

  19. Exact envelope-soliton solutions of a nonlinear wave equation

    Ryogo Hirota

    Article197314 citations
    ABI

  20. Inverse problem and estimates for periodic Zakharov-Shabat systems

    Evgeny Korotyaev

    Article200513 citations
    ABI

  21. Integration of a Nonlinear Korteweg–de Vries Equation with a Loaded Term and a Source

    А. Б. Хасанов, T. G. Khasanov

    ArticleNonlinear Waves and SolitonsJournal of Applied and Industrial Mathematics202212 citations
    ABI

  22. 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

  23. Inverse problem for a quadratic pencil of Sturm-Liouville operators with finite-gap periodic potential on the half-line

    B. A. Babazhanov, А. Б. Хасанов

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations200712 citations
    ABI

  24. The spectrum of Hill's equation

    H. P. McKean, Pierre van Moerbeke

    Article197511 citations
    ABI

  25. PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION

    Boris Dubrovin, S P Novikov

    Article197411 citations
    ABI