Universal character and \(q\)-difference Painlevé equations

DOI10.1007/s00208-009-0359-zzbMath1193.34177OpenAlexW2044483602MaRDI QIDQ842309

Teruhisa Tsuda

Publication date: 22 September 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0359-z

zbMATH Keywords

integrable systems\(q\)-difference equationsPainlevé equationsuniversal character

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Difference equations, scaling ((q)-differences) (39A13)

Related Items

FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS ⋮ Multiparameter universal characters of B-type and integrable hierarchy ⋮ Plethystic B-type KP and universal character hierarchies ⋮ Multi-component universal character hierarchy and its polynomial tau-functions ⋮ Supersymmetric quantum spin chains and modified universal characters ⋮ Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation ⋮ On an integrable system of \(q\)-difference equations satisfied by the universal characters: its Lax formalism and an application to \(q\)-Painlevé equations ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Quantum Gaudin model, spin chains, and universal characters ⋮ Cluster integrable systems, \(q\)-Painlevé equations and their quantization ⋮ Finite-dimensional tau functions of the universal character hierarchy ⋮ \(q\)-universal characters and an extension of the lattice \(q\)-universal characters ⋮ Two-component symplectic universal characters and integrable hierarchies

Cites Work

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