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Exact Traveling Wave Solutions for Fitzhugh-Nagumo (FN) Equation and Modified Liouville Equation

by Mahmoud A.e. Abdelrahman, Mostafa M.a. Khater
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 114 - Number 3
Year of Publication: 2015
Authors: Mahmoud A.e. Abdelrahman, Mostafa M.a. Khater
10.5120/19955-1791

Mahmoud A.e. Abdelrahman, Mostafa M.a. Khater . Exact Traveling Wave Solutions for Fitzhugh-Nagumo (FN) Equation and Modified Liouville Equation. International Journal of Computer Applications. 114, 3 ( March 2015), 1-7. DOI=10.5120/19955-1791

@article{ 10.5120/19955-1791,
author = { Mahmoud A.e. Abdelrahman, Mostafa M.a. Khater },
title = { Exact Traveling Wave Solutions for Fitzhugh-Nagumo (FN) Equation and Modified Liouville Equation },
journal = { International Journal of Computer Applications },
issue_date = { March 2015 },
volume = { 114 },
number = { 3 },
month = { March },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume114/number3/19955-1791/ },
doi = { 10.5120/19955-1791 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:51:41.017802+05:30
%A Mahmoud A.e. Abdelrahman
%A Mostafa M.a. Khater
%T Exact Traveling Wave Solutions for Fitzhugh-Nagumo (FN) Equation and Modified Liouville Equation
%J International Journal of Computer Applications
%@ 0975-8887
%V 114
%N 3
%P 1-7
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we employ the exp(-?(x))-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations Fitzhugh-Nagumo (FN) equation and Modified Liouville equation. 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.

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Index Terms

Computer Science
Information Sciences

Keywords

The exp(-?(x))-expansion method Fitzhugh-Nagumo (FN) equation Modified Liouville equation Traveling wave solutions Solitary wave solutions Kink-antikink shaped.

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