Extension of the Adler-Bobenko-Suris classification of integrable lattice equations
Exactly Solvable and Integrable Systems
2009-11-13 v2
Abstract
The classification of lattice equations that are integrable in the sense of higher-dimensional consistency is extended by allowing directed edges. We find two cases that are not transformable via the 'admissible transformations' to the lattice equations in the existing classification.
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Cite
@article{arxiv.0705.2280,
title = {Extension of the Adler-Bobenko-Suris classification of integrable lattice equations},
author = {Chris M. Field},
journal= {arXiv preprint arXiv:0705.2280},
year = {2009}
}
Comments
14 pages, 2 figures