Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
Differential Geometry
2014-04-23 v2
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
Cite
@article{arxiv.1310.1688,
title = {Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows},
author = {Atsushi Fujioka and Takashi Kurose},
journal= {arXiv preprint arXiv:1310.1688},
year = {2014}
}