Noncommutative Boussinesq and NLS type 2- and 3-simplex maps
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| Format: | Preprint |
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2025
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| _version_ | 1866917898736369664 |
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| author | Konstantinou-Rizos, S. Kutuzova, A. A. |
| author_facet | Konstantinou-Rizos, S. Kutuzova, A. A. |
| contents | We construct noncommutative maps related to the Boussinesq and Nonlinear Schrödinger (NLS) equations with their variables belonging to a noncommutative division ring. We show that the noncommutative Boussinesq type map satisfies the Yang--Baxter equation, and it can be squeezed down to a noncommutative version of the Boussinesq lattice equation. Moreover, we show that the noncommutative NLS type map is a Zamolodchikov tetrahedron map. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_12462 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noncommutative Boussinesq and NLS type 2- and 3-simplex maps Konstantinou-Rizos, S. Kutuzova, A. A. Exactly Solvable and Integrable Systems Mathematical Physics We construct noncommutative maps related to the Boussinesq and Nonlinear Schrödinger (NLS) equations with their variables belonging to a noncommutative division ring. We show that the noncommutative Boussinesq type map satisfies the Yang--Baxter equation, and it can be squeezed down to a noncommutative version of the Boussinesq lattice equation. Moreover, we show that the noncommutative NLS type map is a Zamolodchikov tetrahedron map. |
| title | Noncommutative Boussinesq and NLS type 2- and 3-simplex maps |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2501.12462 |