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

Symmetry Integrability and Geometry-Methods and Applications

article

Atsushi Fujioka¹  Takashi Kurose² 

[1] Department of Mathematics, Kansai University;Department of Mathematical Sciences, Kwansei Gakuin University

关键词: motions of curves;    equicentroaf fine curves;    KdV hierarchy;    multi-Hamiltonian systems;   

DOI  :  10.3842/SIGMA.2014.048

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown