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Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
Authors:
Gepreel, Khaled A, Shehata, A. R
DOI:
10.1155/2012/710375
Journal:
JOURNAL OF APPLIED MATHEMATICS HINDAWI PUBLISHING CORPORATION
Volume:
Research Area:
Mathematics
ISSN
ISI:000302687600001
Keywords :
Jacobi Elliptic Solutions , Nonlinear Differential Difference
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.
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