Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation
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Publication:2826730
DOI10.1088/1751-8113/49/39/395202zbMath1355.37075arXiv1603.06101OpenAlexW2306063756MaRDI QIDQ2826730
Mikhail A. Olshanetsky, Andrei V. Zotov, Andrey M. Levin
Publication date: 18 October 2016
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.06101
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relationships between algebraic curves and integrable systems (14H70) Yang-Baxter equations (16T25)
Related Items (11)
Relativistic interacting integrable elliptic tops ⋮ Higher-rank generalization of the 11-vertex rational \(R\)-matrix: IRF-vertex relations and the associative Yang-Baxter equation ⋮ Trigonometric integrable tops from solutions of associative Yang-Baxter equation ⋮ On R-matrix valued Lax pairs for Calogero–Moser models ⋮ Generalized model of interacting integrable tops ⋮ Calogero-Moser model and \(R\)-matrix identities ⋮ On factorized Lax pairs for classical many-body integrable systems ⋮ Multi-pole extension of the elliptic models of interacting integrable tops ⋮ Relativistic elliptic matrix tops and finite Fourier transformations ⋮ Odd supersymmetrization of elliptic R-matrices ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve
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