Abstract. In this article, we use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method with computerized symbolic computation to construct some new exact solutions for some nonlinear partial differential equations via the cubic nonlinear Klein - Gordon equation and the modified Kawahara equation. As a result, new generalized Jacobi elliptic function-like solutions are obtained by using this method. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics when the balance is positive integer and the balance number is not positive integers.

Received: May 21, 2012

AMS Subject Classification:

Key Words and Phrases:

Download paper from here.