scientific article; zbMATH DE number 1341983

zbMath0938.37045MaRDI QIDQ4263550

Mikhail A. Olshanetsky, Andrey M. Levin

Publication date: 28 June 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

integrable systemsclassical limitisomonodromic deformationsPainlevé VI equationHitchin systemsSchlesinger equationsnonautonomous Hamiltonian systemsKnizhnik-Zamolodchikov-Bernard equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (15)

Planck constant as spectral parameter in integrable systems and KZB equations ⋮ Limit relation between Toda chains and the elliptic \(\mathrm{SL}(N,\mathbb{C})\) top ⋮ The Schlesinger system and isomonodromic deformations of bundles with connections on Riemann surfaces ⋮ Quantum spectral problems and isomonodromic deformations ⋮ Generalization of Okamoto's equation to arbitrary \(2\times 2\) Schlesinger system ⋮ Painlevé VI, rigid tops and reflection equation ⋮ \(\mathcal{N} = 2^*\) gauge theory, free fermions on the torus and Painlevé VI ⋮ Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus ⋮ Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions ⋮ On the geometry of isomonodromic deformations ⋮ Characteristic classes and Hitchin systems. General construction ⋮ Coverings with prescribed ramification and Virasoro groups ⋮ Multi-pole extension of the elliptic models of interacting integrable tops ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach ⋮ Nonautonomous Hamiltonian systems related to higher Hitchin integrals

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