Scalene Yang-Baxter maps and Lax triples

2026/04/29 by S. Konstantinou-Rizos, T. Kouloukas · 1 voice
Physics and Astronomy · #nlin.SI #math-ph

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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.

Discussions

• S. Konstantinou-Rizos, T. Kouloukas: Scalene Yang-Baxter maps and Lax triples https://arxiv.org/abs/2604.27060 https://arxiv.org/pdf/2604.27060 https://arxiv.org/html/2604.27060 [bsky, 0 points, 0 comments]

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