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Zbl 1241.35178
Feng, Dahe; Li, Kezan
Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method.
(English)
[J] Phys. Lett., A 375, No. 23, 2201-2210 (2011). ISSN 0375-9601

Summary: In this Letter, the Fan sub-equation method is used to construct exact solutions of a generalized Hirota-Satsuma coupled KdV equation. Many exact traveling wave solutions are successfully obtained, which contain more general solitary wave solutions and Jacobian elliptic function solutions with double periods. This method is straightforward and concise, and it can also be applied to other nonlinear evolution equations.
MSC 2000:
*35Q53 KdV-like equations
35C07
35C08

Keywords: Fan sub-equation method; generalized Hirota-Satsuma coupled KdV equation; solitary wave solution; periodic wave solution

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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