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Works cited by this work

16 works

Work: Integrating the Toda Lattice with Self-Consistent Source via Inverse Scattering Method

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

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

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

    V. K. Mel’nikov

    Article198825 citations
    ABI

  3. Integration of the Toda lattice with an integral-type source

    Alberto Cabada, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsInverse Problems20109 citations
    ABI

  4. Integrating the Korteweg–de Vries Equation with a Self-Consistent Source and “Steplike” Initial Data

    G. U. Urasboev, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics20018 citations
    ABI

  5. Toda lattice with a special self-consistent source

    G. U. Urazboev

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics20088 citations
    ABI

  6. On the Toda Lattice Equation with Self-Consistent Sources

    Xiaojun Liu, Yunbo Zeng

    Article20056 citations
    ABI

  7. Complete integrability and stochastization of discrete dynamical systems

    S. V. Manakov

    Article19745 citations
    ABI

  8. Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice

    A. Kh. Khanmamedov

    Article20055 citations
    ABI

  9. A discrete version of the inverse scattering problem

    K. M. Case, Mark Kac

    Article19734 citations
    ABI

  10. Vibration of a Chain with Nonlinear Interaction

    Morikazu Toda

    Article19674 citations
    ABI

  11. The Toda lattice. II. Existence of integrals

    H. Flaschka

    Article19744 citations
    ABI

  12. On equations for wave interactions

    V. K. Mel’nikov

    Article19833 citations
    ABI

  13. Multi-scale expansions in the theory of systems integrable by the inverse scattering transform

    В. Е. Захаров, E. A. Kuznetsov

    Article19863 citations
    ABI

  14. Wave Propagation in Anharmonic Lattices

    Morikazu Toda

    Article19673 citations
    ABI

  15. One-Dimensional Dual Transformation

    Morikazu Toda

    Article19652 citations
    ABI

  16. Untitled

    Other1 citations
    ABI