Journal of Applied Mathematics (Jan 2012)

Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

  • Khaled A. Gepreel,
  • A. R. Shehata

DOI
https://doi.org/10.1155/2012/710375
Journal volume & issue
Vol. 2012

Abstract

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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.