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Работы, на которые ссылается эта работа

Работ: 47

Работа: 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

    Статья1968Цитирований: 48
    ABI

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

    P. G. Grinevich, I. A. Taĭmanov

    Другое2008Цитирований: 39
    ABI

  3. Без названия

    ДругоеЦитирований: 29
    ABI

  4. Method for Solving the Sine-Gordon Equation

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

    Статья1973Цитирований: 28
    ABI

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

    A. O. Smirnov

    Статья1995Цитирований: 27
    ABI

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

    А. Б. Хасанов, T. Zh. Allanazarova

    СтатьяNonlinear Waves and SolitonsUkrainian Mathematical Journal2022Цитирований: 26
    ABI

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

    A. R. Its, V. B. Matveev

    Статья1975Цитирований: 25
    ABI

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

    А. Б. Хасанов, A. B. Yakhshimuratov

    СтатьяSpectral Theory in Mathematical PhysicsDifferential Equations2015Цитирований: 21
    ABI

  9. Integration of a defocusing nonlinear Schrödinger equation with additional terms

    Ulugbek Muminov, А. Б. Хасанов

    СтатьяNonlinear Waves and SolitonsTheoretical and Mathematical Physics2022Цитирований: 20
    ABI

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

    А. Б. Хасанов, U. A. Hoitmetov

    СтатьяNonlinear Waves and SolitonsRussian Mathematics2018Цитирований: 18
    ABI

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

    А. Б. Хасанов, G. U. Urazboev

    СтатьяNonlinear Waves and SolitonsDifferential Equations2007Цитирований: 17
    ABI

  12. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Книга1987Цитирований: 17
    ABI

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

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

    Статья1974Цитирований: 17
    ABI

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

    G. Mannonov, А. Б. Хасанов

    СтатьяNonlinear Waves and SolitonsSt Petersburg Mathematical Journal2023Цитирований: 16
    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

    СтатьяNonlinear Waves and SolitonsTheoretical and Mathematical Physics2023Цитирований: 15
    ABI

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

    Boris Dubrovin

    Статья1975Цитирований: 14
    ABI

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

    А. Б. Хасанов, T. G. Khasanov

    СтатьяNonlinear Waves and SolitonsJournal of Mathematical Sciences2024Цитирований: 14
    ABI

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

    Ryogo Hirota

    Статья1973Цитирований: 14
    ABI

  19. Negative powers of Olver recursion operators

    John M. Verosky

    Статья1991Цитирований: 14
    ABI

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

    А. Б. Хасанов, G. U. Urazboev

    СтатьяNonlinear Waves and SolitonsSiberian Advances in Mathematics2009Цитирований: 14
    ABI

  21. The Modified Korteweg-de Vries Equation

    Miki Wadati

    Статья1973Цитирований: 11
    ABI

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

    А. Б. Хасанов, U. A. Hoitmetov

    СтатьяNonlinear Waves and SolitonsDifferential Equations2022Цитирований: 11
    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

    СтатьяNonlinear Waves and SolitonsLobachevskii Journal of Mathematics2023Цитирований: 10
    ABI

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

    Ulugbek Muminov, А. Б. Хасанов

    СтатьяNonlinear Waves and SolitonsSiberian Advances in Mathematics2022Цитирований: 10
    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

    Статья2016Цитирований: 10
    ABI