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Existence Analysis of Traveling Wave Solutions for a Generalization of KdV Equation

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  • Yao Long
  • Can Chen

Abstract

By using the bifurcation theory of dynamic system, a generalization of KdV equation was studied. According to the analysis of the phase portraits, the existence of solitary wave, cusp wave, periodic wave, periodic cusp wave, and compactons were discussed. In some parametric conditions, exact traveling wave solutions of this generalization of the KdV equation, which are different from those exact solutions in existing references, were given.

Suggested Citation

  • Yao Long & Can Chen, 2013. "Existence Analysis of Traveling Wave Solutions for a Generalization of KdV Equation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, February.
    • Handle: RePEc:hin:jnlmpe:462957
    DOI: 10.1155/2013/462957
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