SDiff(2) and uniqueness of the Plebański equation

DOI10.1063/1.4739749zbMath1330.37043arXiv1204.3577OpenAlexW3103172705MaRDI QIDQ2872234

Oleg I. Morozov, Boris S. Kruglikov

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1204.3577

zbMATH Keywords

area-preserving diffeomorphisms

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (6)

Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results ⋮ Webs and the Plebański equation ⋮ Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations ⋮ Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations ⋮ Nonlocal symmetries of Plebański’s second heavenly equation ⋮ Ordinary differential equations described by their Lie symmetry algebra

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• The symmetry structure of the anti-self-dual Einstein hierarchy
• Geometry of differential equations
• The cohomologies of the lie algebra of the vector fields in a circle
• Hyper-Kähler hierarchies and their twistor theory

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