Work

Reductions and degenerate limits of Yang–Baxter maps with 3 × 3 Lax matrices

Year: 2025

Type: article

Abstract: We generalise a family of quadrirational parametric Yang–Baxter (YB) maps with 3 × 3 Lax matrices by introducing additional essential parameters. These maps preserve a prescribed Poisson structure which originates from the Sklyanin bracket. We investigate various low-dimensional reductions of this family, as well as degenerate limits with respect to the parameters that were introduced. As a result, we derive several birational YB maps, and we discuss some of their integrability properties. This work is part of a more general classification of YB maps admitting a strong 3 × 3 Lax matrix with a linear dependence on the spectral parameter.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/add2e5

Authors: P Adamopoulou, T E Kouloukas, G Papamikos

Institutions: Heriot-Watt University, Maxwell Institute for Mathematical Sciences, London Metropolitan University, University of Essex

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

OpenAlex ID: W4410008934

FWCI: 0.436

Cites: 27

Cited by: 1

Related to: 10