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New solitary wave solutions and periodic wave solutions for the compound KdV equation

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  • Zhang, Weiguo
  • Li, Shaowei
  • Zhang, Lu
  • Ning, Tongke

Abstract

In this paper, for compound KdV equation, four new solitary wave solutions in the form of hyperbolic secant function and six periodic wave solutions in the form of cosine function are obtained by using undetermined coefficient method. On three different layers, the velocity interval which ensures that bell-shaped solitary wave solutions and periodic wave solutions exist synchronously is obtained, respectively. The length of the interval is related to coefficients of the two nonlinear terms.

Suggested Citation

  • Zhang, Weiguo & Li, Shaowei & Zhang, Lu & Ning, Tongke, 2009. "New solitary wave solutions and periodic wave solutions for the compound KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 143-149.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:143-149
    DOI: 10.1016/j.chaos.2007.01.119
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