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http://dx.doi.org/10.14317/jami.2011.29.3_4.763

APPLICATION OF EXP-FUNCTION METHOD FOR A CLASS OF NONLINEAR PDE'S ARISING IN MATHEMATICAL PHYSICS  

Parand, Kourosh (Department of Computer Sciences, Shahid Beheshti University)
Amani Rad, Jamal (Department of Computer Sciences, Shahid Beheshti University)
Rezaei, Alireza (Department of Computer Sciences, Shahid Beheshti University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 763-779 More about this Journal
Abstract
In this paper we apply the Exp-function method to obtain traveling wave solutions of three nonlinear partial differential equations, namely, generalized sinh-Gordon equation, generalized form of the famous sinh-Gordon equation, and double combined sinh-cosh-Gordon equation. These equations play a very important role in mathematical physics and engineering sciences. The Exp-Function method changes the problem from solving nonlinear partial differential equations to solving a ordinary differential equation. Mainly we try to present an application of Exp-function method taking to consideration rectifying a commonly occurring errors during some of recent works.
Keywords
Exp-function method; Generalized sinh-Gordon equation; Generalized famous sinh-Gordon equation; Double combined sinh-cosh-Gordon equation; Nonlinear partial differential equations;
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