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 the equations of this class. Those conditions are used at the end to test for integrability discretizations of some well-known hyperbolic equations.
Levi, D., Yamilov, R.i. (2009). The generalized symmetry method for discrete equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 42(45) [10.1088/1751-8113/42/45/454012].
The generalized symmetry method for discrete equations
LEVI, Decio;
2009-01-01
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 the equations of this class. Those conditions are used at the end to test for integrability discretizations of some well-known hyperbolic equations.File in questo prodotto:
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