Travelling wave solutions of the Cahn–Allen equation by using first integral method

In this paper, we established travelling wave solutions of the nonlinear equation. The first integral method was used to construct travelling wave solutions of the Cahn–Allen equation. The obtained results include periodic and solitary wave solutions. The power of this manageable method is confirmed...

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Bibliographic Details
Published in:Applied mathematics and computation 2009, Vol.207 (1), p.279-282
Main Authors: Taşcan, Filiz, Bekir, Ahmet
Format: Article
Language:English
Subjects:
Cahn–Allen equation
Exact sciences and technology
Exact solutions
First integral method
Integral equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Sciences and techniques of general use
Sequences, series, summability
Travelling wave solutions
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Summary:In this paper, we established travelling wave solutions of the nonlinear equation. The first integral method was used to construct travelling wave solutions of the Cahn–Allen equation. The obtained results include periodic and solitary wave solutions. The power of this manageable method is confirmed.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2008.10.031