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Integration of the matrix KdV equation with self-consistent source

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  • Bondarenko, N.
  • Freiling, G.
  • Urazboev, G.

Abstract

In this work, it is shown that the solutions of the matrix KdV equation with self-consistent source can be found by the inverse scattering transform for the matrix Sturm–Liouville operator.

Suggested Citation

  • Bondarenko, N. & Freiling, G. & Urazboev, G., 2013. "Integration of the matrix KdV equation with self-consistent source," Chaos, Solitons & Fractals, Elsevier, vol. 49(C), pages 21-27.
    • Handle: RePEc:eee:chsofr:v:49:y:2013:i:c:p:21-27
    DOI: 10.1016/j.chaos.2013.02.010
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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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