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- W2113243265 abstract "We 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." @default.
- W2113243265 created "2016-06-24" @default.
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- W2113243265 date "2008-05-20" @default.
- W2113243265 modified "2023-09-28" @default.
- W2113243265 title "Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces" @default.
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- W2113243265 doi "https://doi.org/10.3842/sigma.2008.044" @default.
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