On the bi-Hamiltonian Structure of the Trigonometric Spin Ruijsenaars–Sutherland Hierarchy

DOI10.1007/978-3-030-53305-2_5zbMath1475.70013arXiv2007.09658OpenAlexW3096665675MaRDI QIDQ5152763

Ian Marshall, László Fehér

Publication date: 27 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09658

zbMATH Keywords

integrable systemHamiltonian reductionbi-Hamiltonian hierarchyspin Ruijsenaars and Sutherland models

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Cites Work

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• On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system
• A simple model of the integrable Hamiltonian equation
• Free motion on the PoissonSU(N)group
• Dressing transformations and Poisson group actions

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