The Generalized Symmetry Method for Discrete Equations
Exactly Solvable and Integrable Systems
2015-05-13 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.0902.4421,
title = {The Generalized Symmetry Method for Discrete Equations},
author = {D. Levi and R. I. Yamilov},
journal= {arXiv preprint arXiv:0902.4421},
year = {2015}
}