Motions of curves in the complex hyperbola and the Burgers hierarchy

zbMath1175.35122MaRDI QIDQ1001971

Atsushi Fujioka, Takashi Kurose

Publication date: 20 February 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1227708833

zbMATH Keywords

curvesBurgers hierarchycomplex hyperbola

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) Discrete geometry (52C99) Affine differential geometry (53A15)

Related Items (3)

Isogonal deformation of discrete plane curves and discrete Burgers hierarchy ⋮ Symplectic invariants for curves and integrable systems in similarity symplectic geometry ⋮ Integrable systems from inelastic curve flows in 2– and 3– dimensional Minkowski space

Cites Work

• Integrable motions of space curves in affine geometry
• Hamiltonian flows on the space of star-shaped curves
• Discrete Curves in and the Toda Lattice
• Integrable equations arising from motions of plane curves
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