Finite-gap Solutions of the Vortex Filament Equation, I

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dc.creatorCalini, Annalisa
dc.creatorIvey, Thomas
dc.date2004-11-30
dc.date2004-12-02
dc.date.accessioned2026-07-07T05:36:07Z
dc.date.available2026-07-07T05:36:07Z
dc.descriptionFor the class of quasi-periodic solutions of the vortex filament equation, we study connections between the algebro-geometric data used for their explicit construction and the geometry of the evolving curves. We give a complete description of genus one solutions, including geometrically interesting special cases such as Euler elastica, constant torsion curves, and self-intersecting filaments. We also prove generalizations of these connections to higher genus.
dc.description36 pages, 8 figures; additional references included
dc.identifierhttps://arxiv.org/abs/nlin/0411065
dc.identifierhttp://arxiv.org/abs/nlin/0411065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80882
dc.subjectExactly Solvable and Integrable Systems
dc.subjectDifferential Geometry
dc.titleFinite-gap Solutions of the Vortex Filament Equation, I
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