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Works cited by this work

47 works

Work: Integration of the equation formed by the combination of the equations AKNS(+1) and AKNS(-1) using the inverse problem for periodic Dirac operator

  1. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Article196848 citations
    ABI

  2. Spectral conservation laws for periodic nonlinear equations of the Melnikov type

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
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  3. Untitled

    Other29 citations
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  4. Method for Solving the Sine-Gordon Equation

    Mark J. Ablowitz, D. J. Kaup, Alan C. Newell +1

    Article197328 citations
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  5. ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION

    A. O. Smirnov

    Article199527 citations
    ABI

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

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

  7. 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

  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 a defocusing nonlinear Schrödinger equation with additional terms

    Ulugbek Muminov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202220 citations
    ABI

  10. On Integration of Korteweg–de Vries Equation in a Class of Rapidly Decreasing Complex-Valued Functions

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsRussian Mathematics201818 citations
    ABI

  11. On the sine-Gordon equation with a self-consistent source corresponding to multiple eigenvalues

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsDifferential Equations200717 citations
    ABI

  12. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Book198717 citations
    ABI

  13. The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

    Mark J. Ablowitz, D. J. Kaup, Alan C. Newell +1

    Article197417 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. Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials

    Boris Dubrovin

    Article197514 citations
    ABI

  17. Cauchy Problem for the Korteweg–De Vries Equation in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, T. G. Khasanov

    ArticleNonlinear Waves and SolitonsJournal of Mathematical Sciences202414 citations
    ABI

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

    Ryogo Hirota

    Article197314 citations
    ABI

  19. Negative powers of Olver recursion operators

    John M. Verosky

    Article199114 citations
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  20. On the sine-Gordon equation with a self-consistent source

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics200914 citations
    ABI

  21. The Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197311 citations
    ABI

  22. On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsDifferential Equations202211 citations
    ABI

  23. 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

  24. The Cauchy Problem for the Defocusing Nonlinear Schrödinger Equation with a Loaded Term

    Ulugbek Muminov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics202210 citations
    ABI

  25. Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach

    V. B. Matveev, A. O. Smirnov

    Article201610 citations
    ABI