New exact travelling wave solutions of Kawahara type equations. (English) Zbl 1163.35488

Jang, Bongsoo

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 510-515 (2009).

Summary: The Auxiliary equation method is used to find analytic solutions for the Kawahara and modified Kawahara equations. It is well known that different types of exact solutions of the given auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations. In this paper, new exact solutions of the auxiliary equation are presented. Using these solutions, many new exact travelling wave solutions for the Kawahara type equations are obtained.

MSC:

35Q58	Other completely integrable PDE (MSC2000)
35C05	Solutions to PDEs in closed form

Keywords:

auxiliary equations; travelling waves; Kawahara and modified Kawahara equations

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