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Entwining Yang–Baxter maps related to NLS type equations

Konstantinou-Rizos, Sotiris and Papamikos, Giorgios (2019) 'Entwining Yang–Baxter maps related to NLS type equations.' Journal of Physics A: Mathematical and Theoretical, 52 (48). ISSN 1751-8113

1907.00019v1.pdf - Accepted Version

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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
Uncontrolled Keywords: Entwining parametric Yang-Baxter maps, Darboux transformations, Liouvilleintegrability, NLS type equations
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 09 Dec 2019 09:55
Last Modified: 04 Nov 2020 02:00

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