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Zbl 1037.35074
Yan, Zhenya
The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system. (English)
[J] Chaos Solitons Fractals 15, No. 3, 575-583 (2003). ISSN 0960-0779

Summary: An extended Jacobian elliptic function expansion method is used to construct new exact doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system by using symbolic computation. As a result, sixteen families of new doubly periodic solutions are obtained. The method is also applied to other higher-dimensional nonlinear evolution equations in mathematical physics.
MSC 2000:
*35Q53 KdV-like equations
37K20 Relations with algebraic geometry, etc.
35C05 Solutions of PDE in closed form

Keywords: Jacobian elliptic function expansion; doubly periodic solutions

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