ON GENERAL FORM OF THE TANH METHOD AND ITS APPLICATION TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, vol.6, no.2, pp.175-181, 2016 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 6 Issue: 2
- Publication Date: 2016
- Doi Number: 10.3934/naco.2016007
- Journal Name: NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.175-181
- Keywords: Tanh method, nonlinear partial differential equations, exact solutions, nonlinear travelling waves, SOLITARY WAVE SOLUTIONS, EVOLUTION, TOOL
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
The tanh method is used to compute travelling waves solutions of one-dimensional nonlinear wave and evolution equations. The technique is based on seeking travelling wave solutions in the form of a finite series in tanh. In this article, we introduce a new general form of tanh transformation and solve well-known nonlinear partial differential equations in which tanh method becomes weaker in the sense of obtaining general form of solutions.