paper

Scalene Yang-Baxter maps and Lax triples

arXiv:2604.27060

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.

2 pages

Scalene Yang-Baxter maps and Lax triples · wovepaper