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Exact solutions for general variable-coefficient KdV equation

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Abstract

By asing the nonclassical method of symmetry reductions, the exact solutions for general variable-coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and nonuniformity terms don't exist, the multisoliton solutions are found and the corresponding Painleve II type equation for the variable-coefficient KdV equation is given.

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Authors and Affiliations

  1. Graduate School, China Academy of Engineering and Physics, P.O. Box 2101, 100088, Beijing

    Liu Xiqiang & Jiang Song

  2. Dept. of Math., Liaocheng Teachers Univ., 252000, Shandong

    Liu Xiqiang & Jiang Song

  3. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, 100088, Beijing

    Liu Xiqiang & Jiang Song

Authors
  1. Liu Xiqiang
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  2. Jiang Song
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Additional information

Supported by the Develop Programme Foundation of the National Basic research (G1999032801).

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Xiqiang, L., Song, J. Exact solutions for general variable-coefficient KdV equation. Appl. Math. Chin. Univ. 16, 377–380 (2001). https://doi.org/10.1007/s11766-001-0005-3

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  • DOI: https://doi.org/10.1007/s11766-001-0005-3

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