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Works cited by this work

35 works

Work: Mixed Problem for a Nonlinear Schrödinger Equation of Negative Order in the Class of Periodic Infinite-Gap Functions

  1. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
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  2. Untitled

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

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
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  4. Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

    Plamen Djakov, Boris Mityagin

    Article200625 citations
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  5. Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

    H. P. McKean, Eugene Trubowitz

    Article197624 citations
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  6. 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
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  7. 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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  8. Integration of a defocusing nonlinear Schrödinger equation with additional terms

    Ulugbek Muminov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202220 citations
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  9. On the inverse problem for Hill's operator

    H. Flaschka

    Article197518 citations
    ABI

  10. Almost Periodic Solutions of the KdV Equation

    Peter D. Lax

    Article197618 citations
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  11. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Book198717 citations
    ABI

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

    Evgeny Korotyaev, Dmitrii Mokeev

    Article202016 citations
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  13. 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

  14. 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
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  15. Theory of Solitons: The Inverse Scattering Method

    Сергей Петрович Новиков

    Book198415 citations
    ABI

  16. Gaps of one dimensional periodic AKNS systems

    Benoît Grébert, Jean‐Claude Guillot

    Article199315 citations
    ABI

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

    Evgeny Korotyaev

    Article200513 citations
    ABI

  18. 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

  19. 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

  20. The spectrum of Hill's equation

    H. P. McKean, Pierre van Moerbeke

    Article197511 citations
    ABI

  21. Asymptotic behavior of Weyel-Titchmarsh m-function in the case of the Dirac system

    Arthur A. Danielyan, B. M. Levitan, А. Б. Хасанов

    Article199111 citations
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  22. Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions

    А. Б. Хасанов, Raykhonbek Khubaydullo ugli Eshbekov, Kh. N. Normurodov

    ArticleNonlinear Waves and SolitonsLobachevskii Journal of Mathematics202310 citations
    ABI

  23. Sturm-Liouville Operators and Applications

    V. А. Marchenko

    Book19869 citations
    ABI

  24. Integration of the Modified Korteweg–de Vries–Liouville Equation in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, U. O. Khudayorov

    ArticleSpectral Theory in Mathematical PhysicsMathematical Notes20237 citations
    ABI

  25. Instability Zones of a Periodic 1D Dirac Operator and Smoothness of its Potential

    Plamen Djakov, Boris Mityagin

    Article20057 citations
    ABI