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

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 sol...

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Bibliographic Details
Published in:Chinese physics letters 2012-06, Vol.29 (6), p.60201-1-060201-4
Main Authors: Zayed, E. M. E., Ibrahim, S. A. Hoda
Format: Article
Language:English
Subjects:
Construction
Exact solutions
Mathematical analysis
Nonlinear evolution equations
Reaction-diffusion equations
Solitary waves
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Summary: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.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/29/6/060201