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Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics Using the Modified Simple Equation Method
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
Authors:
Ibrahim, S. A. Hoda, Zayed, E. M. E
DOI:
10.1088/0256-307X/29/6/060201
Journal:
CHINESE PHYSICS LETTERS IOP PUBLISHING LTD
Volume:
29
Research Area:
Physics
ISSN
ISI:000305481400001
Keywords :
Exact Solutions , Nonlinear Evolution Equations , Mathematical
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.
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