Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method
Year: 2010
Author: Amin Gholami Davodi, Davood Domiri Ganji
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 1 : pp. 118–130
Abstract
This paper presents the application of a new method for obtaining new exact solutions of some well-known nonlinear partial differential equations. The Rational Hyperbolic method is used for handling the Zhiber-Shabat equation and the related equations such as Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations. We show power of the Rational Hyperbolic method that is simple and effective for solving nonlinear partial differential equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0939
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 1 : pp. 118–130
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: The rational hyperbolic method Zhiber-Shabat Liouville Sinh-Gordon Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations.