Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows

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dc.contributor.authorFujioka, A.
dc.contributor.authorKurose, T.
dc.date.accessioned2019-02-10T19:10:49Z
dc.date.available2019-02-10T19:10:49Z
dc.date.issued2014
dc.description.abstractHigher 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.uk_UA
dc.description.sponsorshipThe 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.uk_UA
dc.identifier.citationMulti-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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 37K25; 35Q53
dc.identifier.otherDOI:10.3842/SIGMA.2014.048
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146698
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMulti-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flowsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік