In this paper, we consider the nonlinear evolution equations such as Kawahara equation and modified Kawahara equation. By using the tanh method and an exp-function method, the travelling wave solutions for the these equations are presented. New exact travelling solutions are explicitly obtained with
New exact travelling wave solutions of Kawahara type equations
β Scribed by Bongsoo Jang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 342 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
## a b s t r a c t In this paper, we establish exact solutions for complex nonlinear equations. The tanh-coth and the sine-cosine methods are used to construct exact periodic and soliton solutions of these equations. Many new families of exact travelling wave solutions of the coupled Higgs and Macc
## Abstract We study the existence of combustion waves for an autocatalytic reaction in the nonβadiabatic case. Based on the fact that the reaction system has canard solutions separating the slow combustion regime from the explosive one, we prove by applying the geometric theory of singularly pertu
The extended homogeneous balance method is used to construct exact traveling wave solutions of the Boussinesq-Burgers equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutio