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Works cited by this work

16 works

Work: The Cauchy Problem for a Nonlinear Hirota-Type Equationwith a Self-Consistent Series Source

  1. Method for Solving the Korteweg-deVries Equation

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

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

    Miki Wadati

    Article197234 citations
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  3. Method for Solving the Sine-Gordon Equation

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

    Article197328 citations
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  4. 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

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

    Plamen Djakov, Boris Mityagin

    Article200625 citations
    ABI

  6. 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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  7. Integration of the nonlinear Schroedinger equation with a self-consistent source

    V. K. Mel’nikov

    Article199121 citations
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  8. 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

  9. 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

  10. 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

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

    Ryogo Hirota

    Article197314 citations
    ABI

  12. Integration Of A Higher-Order Nonlinear SchröDinger System with a Self-Consistent Source in the Class of Periodic Functions

    A. B. Yakhshimuratov

    ArticleDifferential Equations and Numerical MethodsTheoretical and Mathematical Physics20209 citations
    ABI

  13. Estimation of the Cauchy function for finite-zone nonperiodic potentials

    B. M. Levitan, А. Б. Хасанов

    Article19927 citations
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  14. The Cauchy Problem for the Nonlinear Complex Modified Korteweg-de Vries Equation with Additional Terms in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, T. G. Khasanov

    ArticleNonlinear Waves and SolitonsSiberian Mathematical Journal20244 citations
    ABI

  15. Tangential polynomials and elliptic solitons

    Armando Treibich

    Article19894 citations
    ABI

  16. Integration of a non-linear Hirota type equation with additional terms

    А. Б. Хасанов, Raykhonbek Khubaydullo ugli Eshbekov, Temur Gafurjonovich Hasanov

    ArticleNonlinear Waves and SolitonsIzvestiya Mathematics20252 citations
    ABI