Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation

DOI10.1016/S0378-4754(00)00301-3zbMath0980.35152arXivnlin/0411065OpenAlexW2140045747MaRDI QIDQ5937528

Annalisa M. Calini, Thomas A. Ivey

Publication date: 13 March 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0411065

zbMATH Keywords

nonlinear Schrödinger equationFloquet spectravortex filament equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (1)

Transverse intersection of invariant manifolds in perturbed multi-symplectic systems

Cites Work

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• Solitons, Euler’s equation, and vortex patch dynamics
• Torus knots and polynomial invariants for a class of soliton equations
• A soliton on a vortex filament
• Connecting geometry, topology and spectra for finite-gap NLS potentials

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