Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt
Abstract:
Abundant new exact solutions of the Schamel-Korteweg-de Vries (S-KdV) equation and modified Zakharov-Kuznetsov equation arising in plasma and dust plasma are presented by using the extended mapping method and theavailability of symbolic computation. These solutions include the Jacobi elliptic function solutions, hyperbolic function solutions, rational solutions, and periodic wave solutions. In the limiting cases, the solitary wave solutions are obtained and some known solutions are also recovered.