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Works cited by this work

30 works

Work: Integration of the differential–difference sine-Gordon equation with a self-consistent source

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

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

  2. 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

  3. Solitons and Nonlinear Wave Equations

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

    Book198217 citations
    ABI

  4. Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

    Ryogo Hirota

    Article197115 citations
    ABI

  5. On the sine-Gordon equation with a self-consistent source

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics200914 citations
    ABI

  6. Periodic Toda chain with an integral source

    Bazar Babajanov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201513 citations
    ABI

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

    Da‐jun Zhang, Deng-yuan Chen

    Article200313 citations
    ABI

  8. 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

  9. 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

  10. 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

  11. On the Toda lattice equation with self-consistent sources

    Xiaojun Liu, Yunbo Zeng

    Article20059 citations
    ABI

  12. 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

  13. ALGEBRAIC CURVES AND NON-LINEAR DIFFERENCE EQUATIONS

    I. M. Krichever

    Article19788 citations
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  14. Discrete sine-Gordon equations

    S.J. Orfanidis

    Article19785 citations
    ABI

  15. All constant mean curvature tori inR 3,S 3,H 3 in terms of theta-functions

    A. I. Bobenko

    Article19914 citations
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  16. A Treatise on the Differential Geometry of Curves and Surfaces

    Luther Pfahler Eisenhart

    Book19604 citations
    ABI

  17. Extension of the Zakharov-Shabat generalized inverse method to solve differential-difference and difference-difference equations

    D. Levi, O. Ragnisco, M. Bruschi

    Article19803 citations
    ABI

  18. A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions

    Fritz Gesztesy, Helge Holden

    Preprint19973 citations
    ABI

  19. Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation

    Ryogo Hirota

    Article19773 citations
    ABI

  20. Generating Solutions to Discrete sine-Gordon Equation from Modified Bäcklund Transformation

    Xin Kou, Da‐jun Zhang, Ying Shi +1

    Article20113 citations
    ABI

  21. Inverse problem for an elliptic sine-Gordon equation with an asymptotic behaviour of the cnoidal-wave type

    A. B. Borisov, V.V. Kiseliev

    Article19893 citations
    ABI

  22. Application of soliton theory to the construction of pseudospherical surfaces in R3

    M. Melko, Ivan Sterling

    Article19933 citations
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  23. Constant mean curvature surfaces and integrable equations

    Alexander I. Bobenko

    Article19913 citations
    ABI

  24. Exact solutions of a nonlinear boundary value problem: The vortices of the two-dimensional sinh-Poisson equation

    A. Ting, H. H. Chen, Y. C. Lee

    Article19873 citations
    ABI

  25. The inverse scattering transform for solving the discrete sine-Gordon equation

    L. Pilloni, D. Levi

    Article19823 citations
    ABI