The generalized symmetry method for discrete equations

Decio Levi
Dipartimento di Ingegneria Elettronica
Università degli Studi di Roma Tre

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.