Scalene Yang-Baxter maps and Lax triples
Exactly Solvable and Integrable Systems
2026-05-01 v1 Mathematical Physics
math.MP
Abstract
We study a generalisation of the set-theoretic Yang-Baxter equation and investigate the connection between its solutions and matrix refactorisation problems. We refer to such solutions as scalene Yang-Baxter maps. Moreover, we construct scalene Yang-Baxter maps associated with integrable equations of KdV and NLS type.
Keywords
Cite
@article{arxiv.2604.27060,
title = {Scalene Yang-Baxter maps and Lax triples},
author = {S. Konstantinou-Rizos and T. Kouloukas},
journal= {arXiv preprint arXiv:2604.27060},
year = {2026}
}
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2 pages