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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 048, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.048 (Mi sigma913) 		 
This article is cited in 5 scientific papers (total in 5 papers)

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

Atsushi Fujiokaa, Takashi Kuroseb

a Department of Mathematics, Kansai University, Suita, 564-8680, Japan
b Department of Mathematical Sciences, Kwansei Gakuin University, Sanda, 669-1337, Japan
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DOI: https://doi.org/10.3842/SIGMA.2014.048
Abstract: 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.
Keywords: motions of curves; equicentroaffine curves; KdV hierarchy; multi-Hamiltonian systems.
Received: October 11, 2013; in final form April 16, 2014; Published online April 22, 2014
Bibliographic databases:
Document Type: Article
MSC: 37K25; 35Q53
Language: English
Citation: Atsushi Fujioka, Takashi Kurose, “Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows”, SIGMA, 10 (2014), 048, 11 pp.
Citation in format AMSBIB
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\by Atsushi~Fujioka, Takashi~Kurose
\paper Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
\jour SIGMA
\yr 2014
\vol 10
\papernumber 048
\totalpages 11
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\crossref{https://doi.org/10.3842/SIGMA.2014.048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3210587}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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