Classical extended conformal algebras associated with constrained KP hierarchy

DOI10.1063/1.531004zbMath0846.58036arXivhep-th/9410156OpenAlexW3103410574MaRDI QIDQ4873319

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Publication date: 4 June 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9410156

zbMATH Keywords

conformal algebrasKP hierarchyLax operatorsecond Hamiltonian structure

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

NONLOCAL EXTENDED CONFORMAL ALGEBRAS ASSOCIATED WITH MULTICONSTRAINT KP HIERARCHY AND THEIR FREE FIELD REALIZATIONS ⋮ Solving the constrained KP hierarchy by gauge transformations

Cites Work

• An alternative approach to KP hierarchy in matrix models
• Classical \(W\)-algebras
• Constrained KP hierarchy and bi-Hamiltonian structures
• On two-current realization of KP hierarchy
• Non-abelian Toda theory: A completely integrable model for strings on a black hole background
• Mathematics of dispersive water waves
• GELFAND-DIKII BRACKETS FOR NONSTANDARD LAX EQUATIONS
• Extended conformal symmetries and U(1) currents
• Covariant Lax operators and Kac–Moody algebras
• (1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation
• Constraints of the Kadomtsev–Petviashvili hierarchy
• On diff(S1) covariantization of pseudodifferential operator

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