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New travelling wave solutions of the generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1049.35164

Summary: By the application of hyperbolic function, triangle function and symbolic computation, we devise a new method to seek the exact travelling wave solutions of the nonlinear partial differential equations in mathematical physics. The generalized coupled Hirota-Satsuma KdV system is chosen to illustrate the approach. As a consequence, abundant new solitary and periodic solutions are obtained.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations

Software:

MACSYMA
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References:

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