On commuting flows of AKS hierarchy and twistor correspondence

DOI10.1016/0393-0440(95)00056-9zbMath0862.58031OpenAlexW2025328697MaRDI QIDQ1816955

Partha Guha

Publication date: 1 December 1996

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00056-9

zbMATH Keywords

integrable systemstwistor correspondenceAdler-Kostant-Symes schemedual Yang-Mills hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Spinor and twistor methods applied to problems in quantum theory (81R25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (5)

THE τ FUNCTIONS OF THE AKS HIERARCHY AND TWISTOR CORRESPONDENCE ⋮ Hierarchies and Hamiltonian structures of the nonlinear Schrödinger family using geometric and spectral techniques ⋮ AKS hierarchy and bi-Hamiltonian geometry of Gelfand–Zakharevich type ⋮ Adler–Kostant–Symes construction, bi-Hamiltonian manifolds, and KdV equations ⋮ Quest for Universal Integrable Models

Cites Work

• Completely integrable systems, Euclidean Lie algebras, and curves
• A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions
• The C. Neumann Problem as a Completely Integrable System on an Adjoint Orbit
• On self-dual gauge fields
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