paper

The Generalized Symmetry Method for Discrete Equations

arXiv:0902.4421 · doi:10.1088/1751-8113/42/45/454012

Abstract

The generalized symmetry method is applied to a class of completely discrete equations including the Adler-Bobenko-Suris list. Assuming the existence of a generalized symmetry, we derive a few integrability conditions suitable for testing and classifying equations of this class. Those conditions are used at the end to test for integrability discretizations of some well-known hyperbolic equations.

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