Knot Types , Floquet Spectra , and Finite - Gap Solutions Ofthe Vortex Filament Equation
نویسندگان
چکیده
Using the connection between closed solution curves of the Vortex Filament Equation and the periodic problem for the nonlinear Schrr odinger equation (NLS), we investigate the possibility of relating the knot types of nite-gap solutions to the Floquet spectra of the corresponding NLS potentials, in the special case of small amplitude curves close to multiply-covered circles.
منابع مشابه
Connecting Geometry, Topology and Spectra for Finite-gap Nls Potentials
Using the connection between closed solution curves of the vortex filament flow and quasiperiodic solutions of the nonlinear Schrödinger equation (NLS), we relate the knot types of finite-gap solutions to the Floquet spectra of the corresponding NLS potentials, in the special case of small amplitude curves close to multiply-covered circles.
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