The twistor theory of equations of KdV type. I

DOI10.1007/BF02099306zbMath0812.35127OpenAlexW1977958315MaRDI QIDQ1344507

Michael A. Singer, Lionel J. Mason

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1007/bf02099306

zbMATH Keywords

self-dual Yang-Mills equationsloop groupsholomorphic bundlesequations of KdV typeWard transform

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Yang-Mills and other gauge theories in quantum field theory (81T13) Spinor and twistor methods applied to problems in quantum theory (81R25) Twistor theory, double fibrations (complex-analytic aspects) (32L25)

Related Items

Dromion Perturbation for the Davey-Stewartson-1 Equations, Non-commutative Ward's conjecture and integrable systems, Scattering of noncommutative waves and solitons in a supersymmetric chiral model in \(2 + 1\) dimensions, Hidden symmetries and integrable hierarchy of the \({\mathcal{N}}= 4\) supersymmetric Yang-Mills equations, Tau functions and the twistor theory of integrable systems., Twistor reductions of the KdV hierarchy, The Landau-Lifshitz equation, elliptic curves and the Ward transform

Cites Work

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• Twistor correspondences for the soliton hierarchies
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• Theta functions and non-linear equations
• Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
• Integrable and solvable systems, and relations among them
• On self-dual gauge fields