Connecting geometry, topology and spectra for finite-gap NLS potentials

DOI10.1016/S0167-2789(01)00154-3zbMath0979.35134MaRDI QIDQ5940194

Thomas A. Ivey, Annalisa M. Calini

Publication date: 29 July 2001

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

zbMATH Keywords

nonlinear Schrödinger equationFloquet spectravortex filament flow

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (3)

Finite-gap solutions of the vortex filament equation: isoperiodic deformations ⋮ Gross-Neveu models, nonlinear Dirac equations, surfaces and strings ⋮ Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation

Cites Work

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• A note on a Bäcklund transformation for the continuous Heisenberg model
• Finite-gap solutions of the vortex filament equation: genus one solutions and symmetric solutions
• A soliton on a vortex filament

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