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Zbl 1252.34013
Gepreel, Khaled A.; Shehata, A.R.
Rational Jacobi elliptic solutions for nonlinear differential-difference lattice equations. (English)
[J] Appl. Math. Lett. 25, No. 9, 1173-1178 (2012). ISSN 0893-9659

Summary: We present a direct new method for constructing the rational Jacobi elliptic solutions for nonlinear differential-difference equations, which may be called the rational Jacobi elliptic function 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. The proposed method is effective for obtaining the exact solutions for nonlinear differential-difference equations.
MSC 2000:
*34A33
34A05 Methods of solution of ODE

Keywords: Jacobi elliptic function; traveling wave solutions; lattice equation

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