The modified rational Jacobi elliptic functions method for nonlinear differential difference equations
type: Item
instance of: scholarly article
title: The modified rational Jacobi elliptic functions method for nonlinear differential difference equations
zbMATH Open document ID: 1269.34004
DOI: 10.1155/2012/427479
author: K. A. Gepreel
author: Taher A. Nofal
author: Ali A. Al-Thobaiti
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: 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 Schrödinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Gordon equation, and the quintic discrete nonlinear Schrödinger 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.
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34K33
zbMATH DE Number: 6169907
Wikidata QID: Q58905876
describes a project that uses: DDESpecialSolutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/427479
OpenAlex ID: W1988148230
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description: scientific article; zbMATH DE number 6169907