Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1

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dc.creatorOvsienko, Valentin
dc.creatorRoger, Claude
dc.date2006-02-16
dc.date2006-11-02
dc.date.accessioned2026-07-07T10:46:37Z
dc.date.available2026-07-07T10:46:37Z
dc.descriptionWe consider a Lie algebra generalizing the Virasoro algebra to the case of two space variables. We study its coadjoint representation and calculate the corresponding Euler equations. In particular, we obtain a bi-Hamiltonian system that leads to an integrable non-linear partial differential equation. This equation is an analogue of the Kadomtsev--Petviashvili (of type B) equation.
dc.descriptionLaTeX, 21 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0602043
dc.identifierhttp://arxiv.org/abs/math-ph/0602043
dc.identifierCommun.Math.Phys.273:357-378,2007
dc.identifierdoi:10.1007/s00220-007-0237-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183295
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject17B68, 17B80, 35Q53
dc.titleLooped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1
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