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Gepreel, Khaled A.; Shehata, A. R.

Rational Jacobi elliptic solutions for nonlinear differential-difference lattice equations. (English) Zbl 1252.34013

Appl. Math. Lett. 25, No. 9, 1173-1178 (2012).
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.

Cited in 4 Documents

MSC:

34A33 Ordinary lattice differential equations
34A05 Explicit solutions, first integrals of ordinary differential equations

Keywords:

Jacobi elliptic function; traveling wave solutions; lattice equation
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\textit{K. A. Gepreel} and \textit{A. R. Shehata}, Appl. Math. Lett. 25, No. 9, 1173--1178 (2012; Zbl 1252.34013)
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References:

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