Geodesic
Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Atsushi Fujioka and Takashi Kurose},
     title = {Multi-Hamiltonian {Structures} on {Spaces} of {Closed} {Equicentroaffine} {Plane} {Curves} {Associated} to {Higher} {KdV} {Flows}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a47/}
}
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Atsushi Fujioka; Takashi Kurose. Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a47/

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