Integrability from an Abelian subgroup of the diffeomorphisms group

DOI10.1063/1.2168400zbMath1111.81082arXivhep-th/0511277OpenAlexW1978075532WikidataQ112234580 ScholiaQ112234580MaRDI QIDQ3441599

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Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0511277

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

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Cites Work

• Generalized eikonal knots and new integrable dynamical systems
• Generalized integrability conditions and target space geometry
• Integrability and Hopf solitons in models with explicitly broken \(O(3)\) symmetry
• A new approach to integrable theories in any dimension
• Hopf maps as static solutions of the complex eikonal equation
• Knots as Stable Soliton Solutions in a Three-Dimensional Classical Field Theory
• KNOTS, BRAIDS AND HEDGEHOGS FROM THE EIKONAL EQUATION
• Toroidal solitons in \(3+1\)-dimensional integrable theories
• Hopf solitons and area-preserving diffeomorphisms of the sphere
• Aspects of electric and magnetic variables in SU(2) Yang-Mills theory

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