Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
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 fram...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2008-05-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://www.emis.de/journals/SIGMA/2008/044/ |