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arXiv · 2501.12462

Noncommutative Boussinesq and NLS type 2- and 3-simplex maps

S. Konstantinou-Rizos·A. A. Kutuzova
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Abstract

We construct noncommutative maps related to the Boussinesq and Nonlinear Schr\"odinger (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.

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BibTeXRIS

S. Konstantinou-Rizos, A. A. Kutuzova. 2025-01-21. Noncommutative Boussinesq and NLS type 2- and 3-simplex maps. https://arxiv.org/abs/2501.12462

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