Virasoro constraints for Drinfeld–Sokolov hierarchies and equations of Painlevé type

DOI10.1112/jlms.12603zbMath1526.37080arXiv1908.06707OpenAlexW3121802394MaRDI QIDQ6134514

Si-Qi Liu, You-Jin Zhang, Chao-Zhong Wu

Publication date: 22 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06707

zbMATH Keywords

Virasoro symmetriesDrinfeld-Sokolov hierarchyPainlevé-type equations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Related Items (2)

Affine Kac-Moody algebras and tau-functions for the Drinfeld-Sokolov hierarchies: the matrix-resolvent method ⋮ Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints

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