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The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
Authors:
Gepreel, Khaled A, Nofal, Taher A, Al-Thobaiti, Ali A
DOI:
10.1155/2012/427479
Journal:
JOURNAL OF APPLIED MATHEMATICS HINDAWI PUBLISHING CORPORATION
Volume:
Research Area:
Mathematics
ISSN
ISI:000310300100001
Keywords :
, Modified Rational Jacobi Elliptic Functions Method
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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