Department of Applied Mathematics, Dalian University of
Technology, Dalian 116024, China
Abstract:
In this paper, an extended
Jacobi elliptic function rational expansion method is proposed for
constructing new forms of exact Jacobi elliptic function solutions
to nonlinear partial differential equations by means of making a
more general transformation. For illustration, we apply the method
to the (2+1)-dimensional dispersive long wave equation and
successfully obtain many new doubly periodic solutions, which
degenerate as soliton solutions when the modulus m approximates
1. The method can also be applied to other nonlinear partial
differential equations.