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**Jacobi elliptic solutions for nonlinear differential difference equations in mathematical physics.**
*(English)*
Zbl 1244.39004

Summary: 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.

### MSC:

39A12 | Discrete version of topics in analysis |

### Software:

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\textit{K. A. Gepreel} and \textit{A. R. Shehata}, J. Appl. Math. 2012, Article ID 710375, 15 p. (2012; Zbl 1244.39004)

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### References:

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