Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics Using the Modified Simple Equation Method

doi:10.1088/0256-307X/29/6/060201

Chin. Phys. Lett.

2012, Vol. 29

Issue (6): 060201 DOI: 10.1088/0256-307X/29/6/060201

GENERAL

Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics Using the Modified Simple Equation Method

E. M. E. Zayed^*, S. A. Hoda Ibrahim

Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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E. M. E. Zayed, S. A. Hoda Ibrahim 2012 Chin. Phys. Lett. 29 060201

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Abstract The modified simple equation method is employed to construct the exact solutions involving parameters of nonlinear evolution equations via the (1+1)-dimensional modified KdV equation, and the (1+1)-dimensional reaction-diffusion equation. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact solutions. It is shown that the proposed method provides a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

Keywords: 02.30.Jr 05.45.Yv 02.30.Ik

Received: 16 February 2012 Published: 31 May 2012

PACS:	02.30.Jr	(Partial differential equations)
	05.45.Yv	(Solitons)
	02.30.Ik	(Integrable systems)

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