SOLITON EQUATIONS AND THE VIRASORO ALGEBRA

DOI10.1142/S0217751X89000236zbMath0702.35220MaRDI QIDQ3480602

A. M. Semikhatov

Publication date: 1989

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

Riemann surfaceVirasoro algebraKP hierarchyKrichever mapKadomtsev-Petviashvili hierarchy

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (7)

Coset algebras, integrable hierarchies and matrix models ⋮ Remarks on dispersionless KP, KdV, and 2D gravity ⋮ Some remarks on symmetries, dressing, and virasoro action ⋮ \(d\leq 1\cup d\geq 25\) and constrained KP hierarchy from BRST variance in the \(c\neq 3\) topological algebra ⋮ Symmetries, sato theory, and tau functions ⋮ Explicit solution for \(p\)--\(q\) duality in two-dimensional quantum gravity ⋮ Singular vectors and topological theories from Virasoro constraints via the Kontsevich-Miwa transform

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