On additional symmetry: The many-body problem related to the KP hierarchy

DOI10.1016/0375-9601(94)90563-0zbMath0961.37513arXivhep-th/9402026OpenAlexW1987405037MaRDI QIDQ1964986

Kazuhiro Hikami, Miki Wadati

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9402026

Mathematics Subject Classification ID

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) Many-body theory; quantum Hall effect (81V70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

The Euler-Calogero-Moser model in an external potential---Yangian and loop algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strings in less than one dimension and the generalized KdV hierarchies
• Toward a canonical formalism of non-perturbative two-dimensional gravity
• Three integrable Hamiltonian systems connected with isospectral deformations
• \(R\)-matrices for elliptic Calogero-Moser models
• Additional symmetries for integrable equations and conformal algebra representation
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Classical Calogero Model and Matrix Model
• Infinite Symmetry of the Spin Systems with Inverse Square Interactions
• The spectral theory of a functional-difference operator in conformal field theory

This page was built for publication: On additional symmetry: The many-body problem related to the KP hierarchy