The Generalized Symmetry Method for Discrete Equations

Details The Generalized Symmetry Method for Discrete Equations The Generalized Symmetry Method for Discrete Equations

2009-02-25

arxiv.org/abs/0902.4421v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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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