Atsushi Fujioka, Takashi Kurose, “Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows”, SIGMA, 2014, том 10,048, 11 стр.

Эта публикация цитируется в 4 статьях

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

Atsushi Fujioka^a, Takashi Kurose^b

^a Department of Mathematics, Kansai University, Suita, 564-8680, Japan
^b Department of Mathematical Sciences, Kwansei Gakuin University, Sanda, 669-1337, Japan

Аннотация: 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.

Ключевые слова: motions of curves; equicentroaffine curves; KdV hierarchy; multi-Hamiltonian systems.

MSC: 37K25; 35Q53

Поступила: 11 октября 2013 г.; в окончательном варианте 16 апреля 2014 г.; опубликована 22 апреля 2014 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2014.048