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2012 The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti
J. Appl. Math. 2012: 1-30 (2012). DOI: 10.1155/2012/427479

Abstract

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.

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Khaled A. Gepreel. Taher A. Nofal. Ali A. Al-Thobaiti. "The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations." J. Appl. Math. 2012 1 - 30, 2012. https://doi.org/10.1155/2012/427479

Information

Published: 2012
First available in Project Euclid: 2 January 2013

zbMATH: 1269.34004
MathSciNet: MR2984230
Digital Object Identifier: 10.1155/2012/427479

Rights: Copyright © 2012 Hindawi

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