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Dr. Emad Hassan Mohamed Ebrahim Zahran :: Publications:

Title:
Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology
Authors: Mahmoud A.E. Abdelrahman - Emad H. M. Zahran - Mostafa M. A. Khater
Year: 2015
Keywords: Extended tanh-function method; The (G'/G)-expansion method; Modified Liouville equation; Traveling wave solutions; Solitary wave solutions.
Journal: International Journal of Computer Applications (0975 8887)
Volume: 112
Issue: 12
Pages: 1-7
Publisher: Published Online
Local/International: International
Paper Link:
Full paper Emad Hassan Mohamed Ebrahim Zahran_pxxxxx.pdf
Supplementary materials Not Available
Abstract:

In this paper, we employ extended tanh-function method and the (G'/G )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Liouville equation and comparison between this two method and another method which have been solved it. 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 methods provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.

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