The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Go...

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Main Authors: Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/427479
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author Khaled A. Gepreel
Taher A. Nofal
Ali A. Al-Thobaiti
author_facet Khaled A. Gepreel
Taher A. Nofal
Ali A. Al-Thobaiti
author_sort Khaled A. Gepreel
collection DOAJ
description We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Gordon equation, and the quintic discrete nonlinear Schrodinger equation. Some new types of the Jacobi elliptic solutions are obtained for some nonlinear differential difference equations in mathematical physics. The proposed method is more effective and powerful to obtain the exact solutions for nonlinear differential difference equations.
format Article
id doaj-art-a2875ae2591743998707c570ba73d92c
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-a2875ae2591743998707c570ba73d92c2025-02-03T01:23:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/427479427479The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference EquationsKhaled A. Gepreel0Taher A. Nofal1Ali A. Al-Thobaiti2Mathematics Department, Faculty of Science, Zagazig University, Zagazig, EgyptMathematics Department, Faculty of Science, Taif University, Saudi ArabiaMathematics Department, Faculty of Science, Taif University, Saudi ArabiaWe modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Gordon equation, and the quintic discrete nonlinear Schrodinger equation. Some new types of the Jacobi elliptic solutions are obtained for some nonlinear differential difference equations in mathematical physics. The proposed method is more effective and powerful to obtain the exact solutions for nonlinear differential difference equations.http://dx.doi.org/10.1155/2012/427479
spellingShingle Khaled A. Gepreel
Taher A. Nofal
Ali A. Al-Thobaiti
The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
Journal of Applied Mathematics
title The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
title_full The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
title_fullStr The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
title_full_unstemmed The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
title_short The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
title_sort modified rational jacobi elliptic functions method for nonlinear differential difference equations
url http://dx.doi.org/10.1155/2012/427479
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