ON GENERAL FORM OF THE TANH METHOD AND ITS APPLICATION TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS


Creative Commons License

Hamidoglu A.

NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, vol.6, no.2, pp.175-181, 2016 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.3934/naco.2016007
  • Title of Journal : NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION
  • Page Numbers: pp.175-181
  • Keywords: Tanh method, nonlinear partial differential equations, exact solutions, nonlinear travelling waves, SOLITARY WAVE SOLUTIONS, EVOLUTION, TOOL

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.