Scalene Yang-Baxter maps and Lax triples
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914517707915264 |
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| author | Konstantinou-Rizos, S. Kouloukas, T. |
| author_facet | Konstantinou-Rizos, S. Kouloukas, T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27060 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scalene Yang-Baxter maps and Lax triples Konstantinou-Rizos, S. Kouloukas, T. Exactly Solvable and Integrable Systems Mathematical Physics 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. |
| title | Scalene Yang-Baxter maps and Lax triples |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2604.27060 |