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Works cited by this work

18 works

Work: Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions

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

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  2. The inverse problem for periodic potentials

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  3. Untitled

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

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

    A. R. Its, V. B. Matveev

    Article197525 citations
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  6. Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

    Plamen Djakov, Boris Mityagin

    Article200625 citations
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  7. 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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  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
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  9. 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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  10. Almost Periodic Solutions of the KdV Equation

    Peter D. Lax

    Article197618 citations
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  11. 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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  12. Gaps of one dimensional periodic AKNS systems

    Benoît Grébert, Jean‐Claude Guillot

    Article199315 citations
    ABI

  13. 30 years of finite-gap integration theory

    V. B. Matveev

    Article200715 citations
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  14. Periodic Toda chain with an integral source

    Bazar Babajanov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201513 citations
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  15. Integration of a Nonlinear Korteweg–de Vries Equation with a Loaded Term and a Source

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    ArticleNonlinear Waves and SolitonsJournal of Applied and Industrial Mathematics202212 citations
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  16. 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
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  17. On the Inverse Problem for a Quadratic Pencil of Sturm-Liouville Operators with Periodic Potential

    B. A. Babadzhanov, А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations200510 citations
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  18. Two-Phase Periodic Solutions to the AKNS Hierarchy Equations

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