By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution equations. By this method the Kawahara and the modified Kawahara equations are investigated and new exact travelling
Nonlinear stability of solitary travelling-wave solutions for the Kawahara–KdV and modified Kawahara–KdV Equations
✍ Scribed by Natali, Fábio M. Amorin
- Book ID
- 120465202
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 405 KB
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
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
By using some exact solutions of an auxiliary ordinary differential equation, a new direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the complex coupled KdV equations and modified KdV equation. N