Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Multi-Hamiltonian systems describing higher mKdV flows are also given on spaces of closed Euclidean plane curves via the geo...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2014 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146698 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows / A. Fujioka, T. Kurose // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862615788545900544 |
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| author | Fujioka, A. Kurose, T. |
| author_facet | Fujioka, A. Kurose, T. |
| citation_txt | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows / A. Fujioka, T. Kurose // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 32 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Multi-Hamiltonian systems describing higher mKdV flows are also given on spaces of closed Euclidean plane curves via the geometric Miura transformation.
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| first_indexed | 2025-11-29T13:25:41Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146698 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-29T13:25:41Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fujioka, A. Kurose, T. 2019-02-10T19:10:49Z 2019-02-10T19:10:49Z 2014 Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows / A. Fujioka, T. Kurose // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 32 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K25; 35Q53 DOI:10.3842/SIGMA.2014.048 https://nasplib.isofts.kiev.ua/handle/123456789/146698 Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Multi-Hamiltonian systems describing higher mKdV flows are also given on spaces of closed Euclidean plane curves via the geometric Miura transformation. The authors would like to thank the referees’ kind and important comments and advice. The
 first named author is partly supported by JSPS KAKENHI Grant Number 22540070 and by the
 Kansai University Grant-in-Aid for progress of research in graduate course, 2013. The second
 named author is partly supported by JSPS KAKENHI Grant Number 22540107. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows Article published earlier |
| spellingShingle | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows Fujioka, A. Kurose, T. |
| title | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows |
| title_full | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows |
| title_fullStr | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows |
| title_full_unstemmed | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows |
| title_short | Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows |
| title_sort | multi-hamiltonian structures on spaces of closed equicentroaffine plane curves associated to higher kdv flows |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146698 |
| work_keys_str_mv | AT fujiokaa multihamiltonianstructuresonspacesofclosedequicentroaffineplanecurvesassociatedtohigherkdvflows AT kuroset multihamiltonianstructuresonspacesofclosedequicentroaffineplanecurvesassociatedtohigherkdvflows |