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Solitons; integrability; $G'/G$ method; variational iteration method; homotopy perturbation method.

The Schrödinger–KdV equation with power-law nonlinearity is studied in this paper. The solitary wave ansatz method is used to carry out the integration of the equation and obtain one-soliton solution. The $G'/G$ method is also used to integrate this equation. Subsequently, the variational iteration method and homotopy perturbation method are also applied to solve this equation. The numerical simulations are also given.

Manel Labidi¹ Ghodrat Ebadi² Essaid Zerrad³ Anjan Biswas⁴

1. Laboratory of Engineering Mathematics, Tunisia Polytechnic School, University of Carthage, BP 743, La Marsa 2070, Tunisia
2. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran
3. Department of Physics and Pre-Engineering, Delaware State University, Dover, DE 19901-2277, USA
4. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

Published

January 2012

Manuscript received

19 April 2011

Manuscript revised

31 May 2011

Accepted

28 June 2011