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EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATINS BY USING THE EXP(-φ(ξ))-EXPANSION METHOD
Asian Journal of Mathematics and Computer Research • 2015
Publication Information
Authors
Mostafa M A Khater - Emad H.M. Zahran
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
Publisher
International Knowledge Press
Volume
4
Issue
4
Pages
195-207
publication.type
International
Paper Link
Open Link
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.
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.