New solitary and double periodic wave solutions for a generalized sinh-Gordon equation
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
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Accepted: 28 February 2014
Published online: 2 April 2014
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014