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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
العودة
معلومات البحث
المؤلفون Mostafa M A Khater - Emad H.M. Zahran
الكلمات المفتاحية The exp(−φ(ξ))-expansion method; nonlinear evolution equations; traveling wave solutions; solitary wave solutions; kink-anti kink shaped .
المجلة العلمية Asian Journal of Mathematics and Computer Research
الناشر International Knowledge Press
المجلد 4
العدد 4
الصفحات 195-207
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
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.