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Dr. Emad Hassan Mohamed Ebrahim Zahran :: Publications: |
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| 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. |
