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This article is cited in 4 scientific papers (total in 4 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
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
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.
Linking options:
https://www.mathnet.ru/eng/sigma913 https://www.mathnet.ru/eng/sigma/v10/p48
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Abstract page: | 281 | Full-text PDF : | 43 | References: | 42 |
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