Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces

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dc.creatorOnodera, Eiji
dc.date2007-12-19
dc.date2008-05-20
dc.date.accessioned2026-07-07T09:39:32Z
dc.date.available2026-07-07T09:39:32Z
dc.descriptionWe study the structure of differential equations of one-dimensional dispersive flows into compact Riemann surfaces. These equations geometrically generalize two-sphere valued systems modeling the motion of vortex filament. We define a generalized Hasimoto transform by constructing a good moving frame, and reduce the equation with values in the induced bundle to a complex valued equation which is easy to handle. We also discuss the relationship between our reduction and the theory of linear dispersive partial differential equations.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0712.3105
dc.identifierhttp://arxiv.org/abs/0712.3105
dc.identifierSIGMA 4 (2008), 044, 10 pages
dc.identifierdoi:10.3842/SIGMA.2008.044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161204
dc.subjectAnalysis of PDEs
dc.subject35Q55, 35Q35, 53Z05
dc.titleGeneralized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
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