Generalized symmetry integrability test for discrete equations on the square lattice
Exactly Solvable and Integrable Systems
2015-05-20 v2 Mathematical Physics
math.MP
Abstract
We present an integrability test for discrete equations on the square lattice, which is based on the existence of a generalized symmetry. We apply this test to a number of equations obtained in different recent papers. As a result we prove the integrability of 7 equations which differ essentially from the equation introduced by Viallet and thus from the Adler-Bobenko-Suris list of equations therein contained.
Cite
@article{arxiv.1011.0070,
title = {Generalized symmetry integrability test for discrete equations on the square lattice},
author = {D. Levi and R. I. Yamilov},
journal= {arXiv preprint arXiv:1011.0070},
year = {2015}
}