Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids

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dc.creatorSpineanu, F.
dc.creatorVlad, M.
dc.date2003-10-06
dc.date.accessioned2026-07-07T05:50:10Z
dc.date.available2026-07-07T05:50:10Z
dc.descriptionThe Jacobs-Rebbi equation arises in many contexts where vortical motion in two-dimensional ideal media is investigated. Alternatively, it can be derived in the Abelian Higgs field theory. It is considered non-integrable and numerical solutions have been found, consisting of localised, robust vortices. We show in this work that the equation is integrable and provide the Lax pair. The exact solution is obtained in terms of Riemann \emph{theta} functions.
dc.descriptionLatex 31 pages, includes 6 eps figures
dc.identifierhttps://arxiv.org/abs/physics/0310027
dc.identifierhttp://arxiv.org/abs/physics/0310027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85630
dc.subjectFluid Dynamics
dc.subjectAtmospheric and Oceanic Physics
dc.titleExact vortex solution of the Jacobs-Rebbi equation for ideal fluids
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