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

Fanwei Meng

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/810363

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:810363

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