We propose a new variable-coefficient Riccati subequation method to establish new exact solutions for nonlinear differential-difference equations. For illustrating the validity of this method, we apply it to the discrete (2 + 1)-dimensional Toda lattice equation. As a result, some new and generalized traveling wave solutions including hyperbolic function solutions, trigonometric function solutions, and rational function solutions are obtained.
"A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations." Abstr. Appl. Anal. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/810363