Solutions of the Betchov-Da Rios soliton equation: a Lorentzian approach

DOI10.1016/S0393-0440(99)00005-4zbMath0969.53038OpenAlexW2053212376MaRDI QIDQ1806043

Pascual Lucas, Angel Ferrández, Manuel Barros, Miguel Angel Meroño

Publication date: 20 December 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00005-4

zbMATH Keywords

filament equationLorentzian space formnull curve\(B\)-scrollBetchov-Da Rios soliton equationflat ruled surface

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

• Unnamed Item
• On curves and submanifolds in an indefinite-Riemannian manifold
• Codimension One Isometric Immersions Between Lorentz Spaces
• Physical interpretation of certain invariants for vortex filament motion under LIA
• Torus knots and polynomial invariants for a class of soliton equations
• The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics

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