Multi-Hamiltonian structures on spaces of closed equicentroaffine plane curves associated to higher KdV flows

DOI10.3842/SIGMA.2014.048zbMath1339.37067arXiv1310.1688MaRDI QIDQ2447907

Takashi Kurose, Atsushi Fujioka

Publication date: 29 April 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1688

zbMATH Keywords

KdV hierarchymulti-Hamiltonian systemsmotions of curvesequicentroaffine curves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

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Self-Bäcklund curves in centroaffine geometry and Lamé’s equation ⋮ Central affine curve flow on the plane ⋮ On centro-affine curves and Bäcklund transformations of the KdV equation ⋮ ON THE GEOMETRY OF STAR-SHAPED CURVES IN R<i>ⁿ</i>

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