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

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
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### References:

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