Skip to main content
AkademIndex

Products

For developers

AkademBaseOpen API for the ecosystem
← Back to work

Works cited by this work

51 works

Work: The periodic solutions of the discrete modified KdV equation with a self-consistent source

  1. Method for Solving the Korteweg-deVries Equation

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

    Article196758 citations
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Article196848 citations
    ABI

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

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

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

    J. León, A. Latifi

    Article199032 citations
    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

    Article197030 citations
    ABI

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

    V. K. Mel’nikov

    Article198825 citations
    ABI

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

    V. K. Mel’nikov

    Article199121 citations
    ABI

  8. Solitons and the Inverse Scattering Transform

    Mark J. Ablowitz, Harvey Segur

    Book198121 citations
    ABI

  9. Hamiltonian Methods in the Theory of Solitons

    L. D. Faddeev, Leon A. Takhtajan

    Book198717 citations
    ABI

  10. Solitons and Nonlinear Wave Equations

    R. K. Dodd, Hedley Morris, J. C. Eilbeck +1

    Book198217 citations
    ABI

  11. The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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

    Article197417 citations
    ABI

  12. 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

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

    Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin

    Article200014 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. Modified Manakov system with self-consistent source

    V. S. Shchesnovich, E. V. Doktorov

    Article199612 citations
    ABI

  16. 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

  17. Elements of Soliton Theory

    Colin Wilkin

    Article19819 citations
    ABI

  18. Theory of Nonlinear Lattices

    Morikazu Toda

    Book19819 citations
    ABI

  19. Integral-Type Darboux Transformations for the mKdV Hierarchy with Self-Consistent Sources

    Zeng Yun-Bo, Shao Yi-Jun, MA Wen-xiu

    Article20029 citations
    ABI

  20. ALGEBRAIC CURVES AND NON-LINEAR DIFFERENCE EQUATIONS

    I. M. Krichever

    Article19788 citations
    ABI

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

    Yunbo Zeng, Yijun Shao, Weimin Xue

    Article20038 citations
    ABI

  22. Solving the KdV hierarchy with self-consistent sources by inverse scattering method

    Runliang Lin, Yunbo Zeng, Wen‐Xiu Ma

    Article20018 citations
    ABI

  23. The Multisoliton Solutions of the KP Equation with Self-consistent Sources

    Shu-fang Deng, Deng-yuan Chen, Da‐jun Zhang

    Article20037 citations
    ABI

  24. Generalized Darboux transformations for the KP equation with self-consistent sources

    Ting Xiao, Yunbo Zeng

    Article20047 citations
    ABI

  25. Two binary Darboux transformations for the KdV hierarchy with self-consistent sources

    Yunbo Zeng, Wen-Xiu Ma, Yijun Shao

    Article20017 citations
    ABI