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

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  • Babadjanova, Aygul
  • Kriecherbauer, Thomas
  • Urazboev, Gayrat

Abstract

This work is devoted to the application of inverse spectral problem for integration of the periodic solutions of the discrete modified KdV equation with a self-consistent source. The effective method of solution of the inverse spectral problem for the discrete linear Ablowitz-Ladik equation is presented.

Suggested Citation

  • Babadjanova, Aygul & Kriecherbauer, Thomas & Urazboev, Gayrat, 2020. "The periodic solutions of the discrete modified KdV equation with a self-consistent source," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    • Handle: RePEc:eee:apmaco:v:376:y:2020:i:c:s0096300320301053
    DOI: 10.1016/j.amc.2020.125136
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    References listed on IDEAS

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    1. Lin, Runliang & Zeng, Yunbo & Ma, Wen-Xiu, 2001. "Solving the KdV hierarchy with self-consistent sources by inverse scattering method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 287-298.
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