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Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics

by Elsayed M. E. Zayed, Hoda Ibrahim S. A.
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 67 - Number 6
Year of Publication: 2013
Authors: Elsayed M. E. Zayed, Hoda Ibrahim S. A.
10.5120/11402-6718

Elsayed M. E. Zayed, Hoda Ibrahim S. A. . Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics. International Journal of Computer Applications. 67, 6 ( April 2013), 39-44. DOI=10.5120/11402-6718

@article{ 10.5120/11402-6718,
author = { Elsayed M. E. Zayed, Hoda Ibrahim S. A. },
title = { Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 67 },
number = { 6 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 39-44 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume67/number6/11402-6718/ },
doi = { 10.5120/11402-6718 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:24:00.092413+05:30
%A Elsayed M. E. Zayed
%A Hoda Ibrahim S. A.
%T Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics
%J International Journal of Computer Applications
%@ 0975-8887
%V 67
%N 6
%P 39-44
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we employ the modified simple equation method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations via the (1+1)-dimensional generalized shallow water-wave equation and the(2+1)-dimensional KdV-Burgers 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

Modified simple equation method Nonlinear evolution equations Exact traveling wave solutions Solitary wave solutions

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