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

Mathematics and Computers in Simulation

Volumn 55, Issue 4-6, 2001, Pages 341-350

  Calini, Annalisa M ^a   Ivey, Thomas A ^a  

^a Department of Teacher Education and Department of Sociology and Anthropology   (United States)

Author keywords

Floquet spectra; Nonlinear Schr dinger equation (NLS); Vortex filament equation

Indexed keywords

SPECTRUM ANALYSIS;

FLOQUET SPECTRA; NONLINEAR SCHRODINGER EQUATION; VORTEX FILAMENT EQUATION;

NONLINEAR EQUATIONS;

EID: 0034925301     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(00)00301-3     Document Type: Article

References (18)

1. Computational chaos in the nonlinear Schrödinger equation without homoclinic crossings
2. A note on a Bäcklund transformation for the continuous Heisenberg model
3. Bälcklund transformations and knots of constant torsion
4. Topology and Sine-Gordon evolution of constant torsion curves
5. An elementary geometric characterization of the integrable motion of a curve
6. Solitons, Euler's equations, and vortex patch dynamics
7. A soliton on a vortex filament
8. Geometric realizations of the Fordy-Kulish nonlinear Schrödinger systems
9. Integrable Hamiltonian systems and interactions through quadratic constraints
10. Torus knots and polynomial invariants for a class of soliton equations
11. Soliton surfaces and their applications in: Geometrical aspects of the Einstein equations and integrable systems
12. Solitons on the edge of a two-dimensional electron system