THE τ FUNCTIONS OF THE AKS HIERARCHY AND TWISTOR CORRESPONDENCE
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Publication:4519818
DOI10.1142/S0129055X99000301zbMath0957.37054OpenAlexW2153696211MaRDI QIDQ4519818
Publication date: 4 December 2000
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x99000301
integrable systemsgauge groupsoliton equationsAdler-Kostant-Symes scheme\(\tau\) function solutionsAKS hierarchyself dual Yang-Mills equation
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Related Items (2)
Dromion Perturbation for the Davey-Stewartson-1 Equations ⋮ AKS hierarchy and bi-Hamiltonian geometry of Gelfand–Zakharevich type
Cites Work
- What is a classical r-matrix?
- Completely integrable systems, Euclidean Lie algebras, and curves
- Systems of Toda type, inverse spectral problems, and representation theory
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
- A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions
- On commuting flows of AKS hierarchy and twistor correspondence
- τ functions and zero curvature equations of Toda–AKNS type
- Adler–Kostant–Symes construction, bi-Hamiltonian manifolds, and KdV equations
- On self-dual gauge fields
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