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Works cited by this work

28 works

Work: Интегрирование нелинейного уравнения Кортевега-де Фриза с дополнительным членом

  1. Method for Solving the Korteweg-deVries Equation

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

    Article196758 citations
    ABI

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

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

  3. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
    ABI

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

    Miki Wadati

    Article197234 citations
    ABI

  5. Method for Solving the Sine-Gordon Equation

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

    Article197328 citations
    ABI

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

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201027 citations
    ABI

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

    A. O. Smirnov

    Article199527 citations
    ABI

  8. 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

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

    H. P. McKean, Eugene Trubowitz

    Article197624 citations
    ABI

  10. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die Eigenwerte

    G.J.A. Borg

    Article194619 citations
    ABI

  11. On the inverse problem for Hill's operator

    H. Flaschka

    Article197518 citations
    ABI

  12. 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

  13. 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

  14. Hamiltonian Methods in the Theory of Solitons

    L. D. Faddeev, Leon A. Takhtajan

    Book198717 citations
    ABI

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

    A. B. Yakhshimuratov

    ArticleNonlinear Waves and SolitonsMathematical Physics Analysis and Geometry201117 citations
    ABI

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

    Boris Dubrovin

    Article197514 citations
    ABI

  17. 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

    ArticleNonlinear Waves and SolitonsRussian Mathematics200912 citations
    ABI

  18. A generalization of Borg's inverse theorem for Hill's equations

    Harry Hochstadt

    Article198412 citations
    ABI

  19. Об уравнении Кортевега - де Фриза с самосогласованным источником в классе периодических функций

    А. Б. Хасанов, Алишер Бекчанович Яхшимуратов, A. B. Yakhshimuratov

    Article201011 citations
    ABI

  20. The spectrum of Hill's equation

    H. P. McKean, Pierre van Moerbeke

    Article197511 citations
    ABI

  21. Hill’s surfaces and their theta functions

    H. P. McKean, Eugene Trubowitz

    Article19789 citations
    ABI

  22. Integrable systems and Riemann surfaces of infinite genus

    Martin Schmidt

    Article19967 citations
    ABI

  23. On the determination of a Hill's equation from its spectrum

    Harry Hochstadt

    Article19657 citations
    ABI

  24. Meromorphic extension of solutions of soliton equations

    A. V. Domrin

    Article20105 citations
    ABI

  25. Мероморфное продолжение решений солитонных уравнений

    Андрей Викторович Домрин, A. V. Domrin

    Article20104 citations
    ABI