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Solitons; cnoidal waves; integrability.

This paper studies the Klein–Gordon–Zakharov equation with power-law nonlinearity. This is a coupled nonlinear evolution equation. The solutions for this equation are obtained by the travelling wave hypothesis method, $(G'/G)$ method and the mapping method.

Ghodrat Ebadi¹ E V Krishnan² Anjan Biswas³

1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran
2. Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Oman
3. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

Published

August 2012

Manuscript received

24 August 2011

Manuscript revised

16 March 2012

Accepted

28 March 2012