Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations

DOI10.1016/j.geomphys.2018.02.007zbMath1387.58023arXiv1706.01090OpenAlexW2621604397WikidataQ115352915 ScholiaQ115352915MaRDI QIDQ1747941

Oleg I. Morozov

Publication date: 27 April 2018

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

Full work available at URL: https://arxiv.org/abs/1706.01090

zbMATH Keywords

symmetries of differential equationsLie pseudo-groupsLax representationsMaurer-Cartan formsexotic cohomology

Mathematics Subject Classification ID

Related Items (8)

Six-dimensional heavenly equation. Dressing scheme and the hierarchy ⋮ Integrability properties of the four-dimensional equation of universal hierarchy ⋮ Integrable partial differential equations and Lie-Rinehart algebras ⋮ Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results ⋮ Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras ⋮ Nonlocal symmetries of Plebański’s second heavenly equation ⋮ Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein-Weyl structures and the Gibbons-Tsarev equation ⋮ Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation

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