Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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| dc.contributor.author | Onodera, E. | |
| dc.date.accessioned | 2019-02-19T12:45:19Z | |
| dc.date.available | 2019-02-19T12:45:19Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 35Q55; 35Q35; 53Z05 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/148988 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | The author expresses gratitude to Hiroyuki Chihara for several discussions and valuable advice. Also, thanks to the referees for carefully reading the manuscript. The author is supported by the JSPS Research Fellowships for Young Scientists and the JSPS Grant-in-Aid for Scientific Research No.19·3304. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
