Integrable lattice equations with vertex and bond variables
Exactly Solvable and Integrable Systems
2015-05-28 v3 Dynamical Systems
Abstract
We present integrable lattice equations on a two dimensional square lattice with coupled vertex and bond variables. In some of the models the vertex dynamics is independent of the evolution of the bond variables, and one can write the equations as non-autonomous "Yang-Baxter maps". We also present a model in which the vertex and bond variables are fully coupled. Integrability is tested with algebraic entropy as well as multidimensional consistency
Keywords
Cite
@article{arxiv.1105.4996,
title = {Integrable lattice equations with vertex and bond variables},
author = {Jarmo Hietarinta and Claude Viallet},
journal= {arXiv preprint arXiv:1105.4996},
year = {2015}
}
Comments
15 pages, remarks added, other minor changes