The Jacobin elliptic function expansion method for solitonic solutions to nonlinear partial differential equations with symbolic computation

In this paper, based on the computerized symbolic computation, the Jacobin elliptic function expansion method is improved for the solitonic solutions to nonlinear partial differential equations. A coupled KdV system of equations is chosen to illustrate the method, in which a simple transformation is used to simplify calculating process, and many new exact travelling wave solutions are obtained, especially the solutions involving fourth fourth power of Jacobin elliptic functions.