Noncommutative Boussinesq and NLS type 2- and 3-simplex maps
Exactly Solvable and Integrable Systems
2025-01-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2501.12462,
title = {Noncommutative Boussinesq and NLS type 2- and 3-simplex maps},
author = {S. Konstantinou-Rizos and A. A. Kutuzova},
journal= {arXiv preprint arXiv:2501.12462},
year = {2025}
}
Comments
19 pages, 1 figure