Extended Jacobi elliptic function expansion method and its applications. (English) Zbl 1111.35317

Zhang, Huiqun

Commun. Nonlinear Sci. Numer. Simul. 12, No. 5, 627-635 (2007).

Summary: An extended Jacobi elliptic function expansion method is proposed for constructing the exact solutions of nonlinear wave equations. The validity and reliability of the method is tested by its applications to some nonlinear wave equations. New exact solutions are found.

MSC:

35Q53

KdV equations (Korteweg-de Vries equations)

Keywords:

Jacobi elliptic function expansion method; Jacobi elliptic functions; solitary wave solutions; KdV equation; NLS equation; Boussinesq equation

References:

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