On general form of the Tanh method   and its application to nonlinear  partial differential  equations

Ali  Hamidoǧlu

doi:10.3934/naco.2016007

Article Contents

2016, Volume 6, Issue 2: 175-181. Doi: 10.3934/naco.2016007

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On general form of the Tanh method and its application to nonlinear partial differential equations

Ali Hamidoǧlu^1,

1.
Department of Mathematics, Middle East Technical University, Ankara

Received: February 2016

Revised: April 2016

Published: June 2016

Abstract / Introduction Related Papers Cited by

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.

Keywords:

Tanh method,
nonlinear partial differential equations,
exact solutions,
nonlinear travelling waves.

Mathematics Subject Classification: 35C07.

Citation:

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References

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