Konstantinou-Rizos, Sotiris and Papamikos, Georgios (2019) Entwining Yang–Baxter maps related to NLS type equations. Journal of Physics A: Mathematical and Theoretical, 52 (48). p. 485201. DOI https://doi.org/10.1088/1751-8121/ab4ebe
Konstantinou-Rizos, Sotiris and Papamikos, Georgios (2019) Entwining Yang–Baxter maps related to NLS type equations. Journal of Physics A: Mathematical and Theoretical, 52 (48). p. 485201. DOI https://doi.org/10.1088/1751-8121/ab4ebe
Konstantinou-Rizos, Sotiris and Papamikos, Georgios (2019) Entwining Yang–Baxter maps related to NLS type equations. Journal of Physics A: Mathematical and Theoretical, 52 (48). p. 485201. DOI https://doi.org/10.1088/1751-8121/ab4ebe
Abstract
We construct birational maps that satisfy the parametric set-theoretical Yang–Baxter equation and its entwining generalisation. For this purpose, we employ Darboux transformations related to integrable nonlinear Schrödinger type equations and study the refactorisation problems of the product of their associated Darboux matrices. Additionally, we study various algebraic properties of the derived maps, such as invariants and associated symplectic or Poisson structures, and we prove their complete integrability in the Liouville sense.
Item Type: | Article |
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Additional Information: | 15 pages, 1 figure |
Uncontrolled Keywords: | Entwining parametric Yang-Baxter maps, Darboux transformations, Liouvilleintegrability, NLS type equations |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 09 Dec 2019 09:55 |
Last Modified: | 30 Oct 2024 16:32 |
URI: | http://repository.essex.ac.uk/id/eprint/26191 |
Available files
Filename: 1907.00019v1.pdf