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
Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations
✍ Scribed by E. Yusufoğlu; A. Bekir
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 209 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 the aid of symbolic computation. The obtained solutions include compactons, solitons, solitary patterns and periodic solutions.
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