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Works cited by this work

41 works

Work: On the Integration of the Periodic Camassa–Holm Equation with an Integral-Type Source

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

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

  2. Solution of an initial-boundary value problem for coupled nonlinear waves

    J. León, A. Latifi

    Article199032 citations
    ABI

  3. 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

  4. Integration method of the Korteweg-de Vries equation with a self-consistent source

    V. K. Mel’nikov

    Article198825 citations
    ABI

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

    V. K. Mel’nikov

    Article199121 citations
    ABI

  6. Integration of the Korteweg-de Vries equation with a source

    V. K. Mel’nikov

    Article199020 citations
    ABI

  7. Integration of the General Loaded Korteweg–de Vries Equation with an Integral Type Source in the Class of Rapidly Decreasing Complex-Valued Functions

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsRussian Mathematics202118 citations
    ABI

  8. 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

  9. Nonlinear resonant scattering and plasma instability: an integrable model

    C. Claude, A. Latifi, J. Mustre de León

    Article199117 citations
    ABI

  10. A direct method for deriving a multi-soliton solution for the problem of interaction of waves on thex,y plane

    V. K. Mel’nikov

    Article198716 citations
    ABI

  11. Integration of the soliton hierarchy with self-consistent sources

    Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin

    Article200014 citations
    ABI

  12. Periodic Toda chain with an integral source

    Bazar Babajanov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201513 citations
    ABI

  13. The N-soliton solutions of the sine-Gordon equation with self-consistent sources

    Da‐jun Zhang, Deng-yuan Chen

    Article200313 citations
    ABI

  14. On the periodic Toda lattice hierarchy with an integral source

    Bazar Babajanov, Mičhal Fĕckan, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsCommunications in Nonlinear Science and Numerical Simulation201712 citations
    ABI

  15. On the periodic Toda lattice with a self-consistent source

    Bazar Babajanov, Mičhal Fĕckan, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsCommunications in Nonlinear Science and Numerical Simulation201411 citations
    ABI

  16. Integration of equations of Kaup system kind with self-consistent source in class of periodic functions

    A. B. Yakhshimuratov, Bazar Babajanov

    ArticleNonlinear Waves and SolitonsUfimskii Matematicheskii Zhurnal202010 citations
    ABI

  17. Negaton and positon solutions of the soliton equation with self-consistent sources

    Yunbo Zeng, Yijun Shao, Weimin Xue

    Article20038 citations
    ABI

  18. An integrable shallow water equation with peaked solitons

    Roberto Camassa, Darryl D. Holm

    Article19937 citations
    ABI

  19. On the Construction and Integration of a Hierarchy for the Kaup System with a Self-Consistent Source in the Class of Periodic Functions

    A. B. Yakhshimuratov, Thomas Kriecherbauer, Bazar Babajanov

    Article20215 citations
    ABI

  20. The geometry of peaked solitons and billiard solutions of a class of integrable PDE's

    Mark Alber, Roberto Camassa, Darryl D. Holm +1

    Article19944 citations
    ABI

  21. Inverse scattering transform for the Camassa–Holm equation

    Adrian Constantin, Vladimir S Gerdjikov, Rossen I Ivanov

    Article20064 citations
    ABI

  22. On the Inverse Spectral Problem for the Camassa–Holm Equation

    Adrian Constantin

    Article19983 citations
    ABI

  23. The Camassa–Holm equation for water waves moving over a shear flow

    R. S. Johnson

    Article20033 citations
    ABI

  24. On the Spectral Problem for the Periodic Camassa–Holm Equation

    Adrian Constantin

    Article19973 citations
    ABI

  25. On the Cauchy problem for the Camassa–Holm equation

    Guillermo Rodrı́guez-Blanco

    Article20013 citations
    ABI