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arXiv · 0902.4421

The Generalized Symmetry Method for Discrete Equations

D. Levi·R. I. Yamilov
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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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D. Levi, R. I. Yamilov. 2009-02-25. The Generalized Symmetry Method for Discrete Equations. https://doi.org/10.1088/1751-8113%2F42%2F45%2F454012

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