Yang-Baxter maps associated to elliptic curves
Quantum Algebra
2009-06-18 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present Yang-Baxter maps associated to elliptic curves. They are related to discrete versions of the Krichever-Novikov and the Landau-Lifshits equations. A lifting of scalar integrable quad-graph equations to two-field equations is also shown.
Keywords
Cite
@article{arxiv.0906.3258,
title = {Yang-Baxter maps associated to elliptic curves},
author = {Vassilios G. Papageorgiou and Anastasios G. Tongas},
journal= {arXiv preprint arXiv:0906.3258},
year = {2009}
}
Comments
16 pages, 4 figures