Remarks on KdV-type flows on star-shaped curves

DOI10.1016/j.physd.2009.01.007zbMath1218.37102arXiv0808.3593OpenAlexW1967472482MaRDI QIDQ1025075

Gloria Marí Beffa, Thomas A. Ivey, Annalisa M. Calini

Publication date: 18 June 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3593

zbMATH Keywords

projective geometryPoisson structuresfinite-gap solutionsKdVcurve evolutioncentro-affine geometry

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) Affine differential geometry (53A15)

Related Items (16)

HAMILTONIAN FORMALISM FOR THE HIGHER KdV FLOWS ON THE SPACE OF CLOSED COMPLEX EQUICENTROAFFINE CURVES ⋮ Symplectic invariants for curves and integrable systems in similarity symplectic geometry ⋮ Integrable systems and invariant curve flows in symplectic Grassmannian space ⋮ Self-Bäcklund curves in centroaffine geometry and Lamé’s equation ⋮ A motion of spacelike curves in the Minkowski 3-space and the KdV equation ⋮ Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry ⋮ New optical quasi normal antiferromagnetic microscale in Heisenberg algebra ⋮ Moving frames, geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors ⋮ Central affine curve flow on the plane ⋮ Starshaped sets ⋮ Unnamed Item ⋮ Integrable motions of curves in projective geometries ⋮ On centro-affine curves and Bäcklund transformations of the KdV equation ⋮ Hamiltonian evolution of curves in classical affine geometries ⋮ ON THE GEOMETRY OF STAR-SHAPED CURVES IN R<i>ⁿ</i> ⋮ Closed 1/2-elasticae in the 2-sphere

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