Trigonometric integrable tops from solutions of associative Yang-Baxter equation
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Publication:2001962
DOI10.1007/s00023-019-00815-1zbMath1425.37039arXiv1812.04209OpenAlexW3099973044WikidataQ127730961 ScholiaQ127730961MaRDI QIDQ2001962
Publication date: 11 July 2019
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.04209
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Integrable cases of motion in rigid body dynamics (70E40)
Related Items (10)
Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain ⋮ Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and \(R\)-matrix identities ⋮ Relativistic interacting integrable elliptic tops ⋮ Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality ⋮ On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators ⋮ Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations ⋮ Generalized model of interacting integrable tops ⋮ On factorized Lax pairs for classical many-body integrable systems ⋮ Field analogue of the Ruijsenaars-Schneider model ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve
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