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

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.


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