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

Yao Long and Can Chen

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:462957

DOI: 10.1155/2013/462957

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