Abstract

In this paper, an extendedJacobi elliptic function rational expansion method is proposed forconstructing new forms of exact Jacobi elliptic function solutionsto nonlinear partial differential equations by means of making amore general transformation. For illustration, we apply the methodto the (2+1)-dimensional dispersive long wave equation andsuccessfully obtain many new doubly periodic solutions, whichdegenerate as soliton solutions when the modulus m approximates1. The method can also be applied to other nonlinear partialdifferential equations.

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