A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations

Fanwei Meng

Abstract and Applied Analysis, 2013, vol. 2013, 1-6

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:810363

DOI: 10.1155/2013/810363

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