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

Authors
Calini, AM Ivey, TA
Citation
Am. Calini et Ta. Ivey, Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation, MATH COMP S, 55(4-6), 2001, pp. 341-350
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
55
Issue
4-6
Year of publication
2001
Pages
341 - 350
Database
ISI
SICI code
0378-4754(20010315)55:4-6<341:KTFSAF>2.0.ZU;2-N
Abstract
Using the connection between closed solution curves of the vortex filament equation and the periodic problem for the nonlinear Schrodinger equation (N LS), we investigate the possibility of relating the knot types of finite-ga p solution to the Floquet spectra of the corresponding NLS potentials, in t he special case of small amplitude curves close to multiply-covered circles . (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.