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Reseach Article

Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics

by Maha S. M. Shehata
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 109 - Number 12
Year of Publication: 2015
Authors: Maha S. M. Shehata
10.5120/19237-0621

Maha S. M. Shehata . Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics. International Journal of Computer Applications. 109, 12 ( January 2015), 1-4. DOI=10.5120/19237-0621

@article{ 10.5120/19237-0621,
author = { Maha S. M. Shehata },
title = { Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics },
journal = { International Journal of Computer Applications },
issue_date = { January 2015 },
volume = { 109 },
number = { 12 },
month = { January },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume109/number12/19237-0621/ },
doi = { 10.5120/19237-0621 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:44:34.629938+05:30
%A Maha S. M. Shehata
%T Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics
%J International Journal of Computer Applications
%@ 0975-8887
%V 109
%N 12
%P 1-4
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Extended Jacobian elliptic function expansion method is employed to find the ex¬act traveling wave solutions involving parameters for nonlinear evolution equations. 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 extended Jacobian elliptic func¬tion expansion method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

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Index Terms

Computer Science
Information Sciences

Keywords

Extended Jacobian elliptic function expansion method (2+l)-Dimensional soliton breaking equation (3+l)-Dimensional Kadomstev-Petviash-vili Tarveling wave so¬lutions Solitary wave solutions.