Analytical and numerical solutions of the Schrödinger–KdV equation

descriptionPublicationkeyboard_double_arrow_right Article 30 Dec 2011 English Publisher:Springer Science and Business Media LLCJournal:Pramana, volume 78, pages 59-90 (issn: 0304-4289, eissn: 0973-7111,

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Authors: MANEL LABIDI; GHODRAT EBADI; ESSAID ZERRAD; ANJAN BISWAS;

doi: 10.1007/s12043-011-0212-2

Analytical and numerical solutions of the Schrödinger–KdV equation

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Abstract

The Schrodinger–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.

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