The tanh method for compact and noncompact solutions for variants of the KdV-Burger and the -Burger equations
✍ Scribed by Abdul-Majid Wazwaz
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 189 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0167-2789
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## Abstract In this article, we applied homotopy perturbation method to obtain the solution of the Korteweg‐de Vries Burgers (for short, KdVB) and Lax's seventh‐order KdV (for short, LsKdV) equations. The numerical results show that homotopy perturbation method can be readily implemented to this ty
In this work we use a modified tanh-coth method to solve the general Burgers-Fisher and the Kuramoto-Sivashinsky equations. The main idea is to take full advantage of the Riccati equation that the tanh-function satisfies. New multiple travelling wave solutions are obtained for the general Burgers-Fi