Staff Members - Benha University
Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology
International Journal of Computer Applications (0975 8887) • 2015
Publication Information
Authors
Mahmoud A.E. Abdelrahman - Emad H. M. Zahran - Mostafa M. A. Khater
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)
Publisher
Published Online
Volume
112
Issue
12
Pages
1-7
publication.type
International
Paper Link
Open Link
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.
(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.