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Работы, на которые ссылается эта работа

Работ: 22

Работа: Integration of the Nonlinear Schrfinger Equation with an Additional Term in the Class of Periodic Functions

  1. Method for Solving the Korteweg-deVries Equation

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

    Статья1967Цитирований: 58
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Статья1968Цитирований: 48
    ABI

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

    P. G. Grinevich, I. A. Taĭmanov

    Другое2008Цитирований: 39
    ABI

  4. The Exact Solution of the Modified Korteweg-de Vries Equation

    Miki Wadati

    Статья1972Цитирований: 34
    ABI

  5. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media

    В. Е. Захаров, A. B. Shabat

    Статья1970Цитирований: 30
    ABI

  6. Method for Solving the Sine-Gordon Equation

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

    Статья1973Цитирований: 28
    ABI

  7. The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions

    А. Б. Хасанов, A. B. Yakhshimuratov

    СтатьяNonlinear Waves and SolitonsTheoretical and Mathematical Physics2010Цитирований: 27
    ABI

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

    A. O. Smirnov

    Статья1995Цитирований: 27
    ABI

  9. 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

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

    Plamen Djakov, Boris Mityagin

    Статья2006Цитирований: 25
    ABI

  11. 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

  12. 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

  13. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Книга1987Цитирований: 17
    ABI

  14. The Nonlinear Schrödinger Equation with a Self-consistent Source in the Class of Periodic Functions

    A. B. Yakhshimuratov

    СтатьяNonlinear Waves and SolitonsMathematical Physics Analysis and Geometry2011Цитирований: 17
    ABI

  15. Integration of a loaded Korteweg-de Vries equation in a class of periodic functions

    A. B. Yakhshimuratov, M. M. Matyokubov

    СтатьяNonlinear Waves and SolitonsRussian Mathematics2016Цитирований: 13
    ABI

  16. Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues

    А. Б. Хасанов, G. U. Urazboev

    СтатьяNonlinear Waves and SolitonsRussian Mathematics2009Цитирований: 12
    ABI

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

    Boris Dubrovin, S P Novikov

    Статья1974Цитирований: 11
    ABI

  18. Periodic solutions of the KdV equation

    Peter D. Lax

    Статья1975Цитирований: 10
    ABI

  19. Inverse Sturm–Liouville Problems

    Manfred Möller, Vyacheslav Pivovarchik

    Глава2015Цитирований: 8
    ABI

  20. Sturm-Liouville operators and their applications

    V. А. Marchenko

    Статья1977Цитирований: 8
    ABI

  21. Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation

    L. D. Faddeev

    Другое1967Цитирований: 5
    ABI

  22. Geometry, topology, and mathematical physics : S.P. Novikov's seminar: 2002-2003

    Victor Matveevich Buchstaber, I. M. Krichever

    Статья2004Цитирований: 2
    ABI