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Prof. Emad Hassan Mohamed Ebrahim Zahran :: Publications:

Title:
EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATINS BY USING THE EXP(-φ(ξ))-EXPANSION METHOD
Authors: Mostafa M A Khater - Emad H.M. Zahran
Year: 2015
Keywords: The exp(−φ(ξ))-expansion method; nonlinear evolution equations; traveling wave solutions; solitary wave solutions; kink-anti kink shaped .
Journal: Asian Journal of Mathematics and Computer Research
Volume: 4
Issue: 4
Pages: 195-207
Publisher: International Knowledge Press
Local/International: International
Paper Link:
Full paper Emad Hassan Mohamed Ebrahim Zahran_KHATER442015AJOMCOR1212.pdf
Supplementary materials Not Available
Abstract:

In this paper, we employ the exp(−φ(ξ))-expansion method to nd the exact traveling wave solutions involving parameters of nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.

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