Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
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| Creator |
Onodera, E.
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| Description |
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.
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| Date |
2019-02-19T12:45:19Z
2019-02-19T12:45:19Z 2008 |
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| Type |
Article
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| Identifier |
Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces / E. Onodera // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 35Q55; 35Q35; 53Z05 http://dspace.nbuv.gov.ua/handle/123456789/148988 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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