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The extension of the Jacobi elliptic function rational expansion method. (English) Zbl 1111.35069
Summary: Using a new ansätz, we extend the Jacobi elliptic function rational expansion method and apply it to the asymmetric Nizhnik-Novikov-Veselov equations and the Davey-Stewartson equations. With the aid of symbolic computation, we construct more new Jacobi elliptic doubly periodic wave solutions and the corresponding solitary wave solutions and triangular functional (singly periodic) solutions.

##### MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations 37K20 Relations of infinite-dimensional systems with algebraic geometry, etc. 35-04 Machine computation, programs (partial differential equations)
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##### References:
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