Eur. Phys. J. Plus (2014) 129: 54
https://doi.org/10.1140/epjp/i2014-14054-x

Regular Article

New solitary and double periodic wave solutions for a generalized sinh-Gordon equation

¹ Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
² Department of Mathematics, Faculty of sciences, University of Gonbad e Kavoos, Gonbad, Iran

^* e-mail: ahmad.neirameh@guilan.ac.ir

Received: 11 February 2014
Accepted: 28 February 2014
Published online: 2 April 2014

Abstract

Our methodology is based on introducing the binary Kudryashov method for finding double periodic wave solutions to the generalized sinh-Gordon equation. This method is a powerful tool for searching the exact traveling solutions of nonlinear partial differential equations in mathematical physics. These exact solutions demonstrate the fact that solutions to the Generalized sinh-Gordon equation can exhibit a variety of behaviors. The solutions are constructed elegantly, without the need for complicated analytical algorithms.