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Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology

by Mahmoud A.e. Abdelrahman, Emad H. M. Zahran, Mostafa M. A. Khater
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 112 - Number 12
Year of Publication: 2015
Authors: Mahmoud A.e. Abdelrahman, Emad H. M. Zahran, Mostafa M. A. Khater
10.5120/19715-0627

Mahmoud A.e. Abdelrahman, Emad H. M. Zahran, Mostafa M. A. Khater . Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology. International Journal of Computer Applications. 112, 12 ( February 2015), 1-6. DOI=10.5120/19715-0627

@article{ 10.5120/19715-0627,
author = { Mahmoud A.e. Abdelrahman, Emad H. M. Zahran, Mostafa M. A. Khater },
title = { Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology },
journal = { International Journal of Computer Applications },
issue_date = { February 2015 },
volume = { 112 },
number = { 12 },
month = { February },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume112/number12/19715-0627/ },
doi = { 10.5120/19715-0627 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:49:15.772739+05:30
%A Mahmoud A.e. Abdelrahman
%A Emad H. M. Zahran
%A Mostafa M. A. Khater
%T Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology
%J International Journal of Computer Applications
%@ 0975-8887
%V 112
%N 12
%P 1-6
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we employ extended tanh-function method and the (G0 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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Index Terms

Computer Science
Information Sciences

Keywords

Extended tanh-function method The G0 G -expansion method Modified Liouville equation Traveling wave solutions Solitary wave solutions.

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