Open Access
Translator Disclaimer
2012 Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Khaled A. Gepreel, A. R. Shehata
J. Appl. Math. 2012: 1-15 (2012). DOI: 10.1155/2012/710375

Abstract

We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method. We use the rational Jacobi elliptic function method to construct many new exact solutions for some nonlinear differential difference equations in mathematical physics via the lattice equation and the discrete nonlinear Schrodinger equation with a saturable nonlinearity. The proposed method is more effective and powerful to obtain the exact solutions for nonlinear differential difference equations.

Citation

Download Citation

Khaled A. Gepreel. A. R. Shehata. "Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics." J. Appl. Math. 2012 1 - 15, 2012. https://doi.org/10.1155/2012/710375

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.39004
MathSciNet: MR2898084
Digital Object Identifier: 10.1155/2012/710375

Rights: Copyright © 2012 Hindawi

JOURNAL ARTICLE
15 PAGES


SHARE
Vol.2012 • 2012
Back to Top