From Yang-Baxter maps to integrable quad maps and recurrences
Exactly Solvable and Integrable Systems
2012-06-07 v1 Mathematical Physics
math.MP
Abstract
Starting from known solutions of the functional Yang-Baxter equations, we exhibit Miura type of transformations leading to various known integrable quad equations. We then construct, from the same list of Yang-Baxter maps, a series of non-autonomous solvable recurrences of order two.
Cite
@article{arxiv.1206.1217,
title = {From Yang-Baxter maps to integrable quad maps and recurrences},
author = {B. Grammaticos and A. Ramani and C-M. Viallet},
journal= {arXiv preprint arXiv:1206.1217},
year = {2012}
}