Analytic study of the generalized Burger's-Huxley equation by hyperbolic tangent method

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Author list: Krisnangkura M., Chinviriyasit S., Chinviriyasit W.

Publisher: Elsevier

Publication year: 2012

Journal: Applied Mathematics and Computation (0096-3003)

Volume number: 218

Issue number: 22

Start page: 10843

End page: 10847

Number of pages: 5

ISSN: 0096-3003

eISSN: 1873-5649

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84862897696&doi=10.1016%2fj.amc.2012.04.044&partnerID=40&md5=8e3181573482fc53423a67805f2f45fc

Languages: English-Great Britain (EN-GB)

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Abstract

In this research, exact traveling wave solutions of the generalized Burger's-Huxley equation are obtained which occurs in the description of many non-linear wave phenomena. The analysis rests mainly on the standard hyperbolic tangent (tanh) method. This method is a powerful technique for the computation of closed form tanh-solutions for nonlinear partial differential equations. The types of exact solutions are analyzed, depending on the values of the equation parameters. Crown Copyright ฉ 2012 Published by Elsevier Inc. All rights reserved.

Keywords

Burger's-Huxley equation, Tanh method, Traveling wave solutions