In this paper, we applied the Exp-function method to solve the Kawahara equation. This method can be used to obtain new exact solutions and periodic solutions with parameters are obtained. It is shown that the Exp-function method, with the help of symbolic computation, provides a very effective and
A note on new exact solutions for the Kawahara equation using Exp-function method
โ Scribed by Nikolai A. Kudryashov
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 180 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
a b s t r a c t Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, New Exact solutions for the Kawahara equation using Exp-function method, J. Comput. Appl. Math. 233 (2009) 97-102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and consequently all nontrivial solutions by Assas are wrong.
๐ SIMILAR VOLUMES
Assas [Laila M.B. Assas, New exact solutions for the Kawahara equation using Exp-function method, J. Comput. Appl. Math. 233 (2009) 97-102] found some supposedly new exact solutions to the Kawahara equation by means of the Exp-function method. Unfortunately, they are incorrect. We emphasize that the
## a b s t r a c t In this paper, using the Exp-function method, we give some explicit formulas of exact traveling wave solutions for the Nizhnik-Novikov-Vesselov equation.
The exp-function method is used to find exact solutions of the generalized nonlinear heat conduction equations. The results obtained include all the solutions from the open literature as special cases.