MOTIONS OF CARTAN CURVES IN n-DIMENSIONAL MINKOWSKI SPACE

DOI10.1142/S0217732313501101zbMath1279.37045MaRDI QIDQ2870445

Yan-Yan Li

Publication date: 20 January 2014

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

Minkowski spaceintegrable systemKdV hierarchycoupled KdV systemmotion of Cartan curve

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Galactic and stellar structure (85A15) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (4)

Null curve evolution in four-dimensional pseudo-Euclidean spaces ⋮ Differential geometry of transversal intersection curves of hypersurfaces in ℝ⁵ ⋮ On Backlund transformation and motion of null Cartan curves ⋮ Topological structures of event horizons along framed null Cartan curves in Minkowski space

Cites Work

• Null Frenet-Serret dynamics
• Integrable motions of curves in projective geometries
• Integrable equations arising from motions of plane curves. II.
• Integrable motions of space curves in affine geometry
• On the Cartan curvatures of a null curve in Minkowski space-time
• The KdV Equation and Motion of Plane Curves
• NULL HELICES IN LORENTZIAN SPACE FORMS
• The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
• Coupled KdV Equations of Hirota-Satsuma Type
• Hamiltonian flows on null curves
• A soliton on a vortex filament
• Integrable equations arising from motions of plane curves

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