Topology and sine-Gordon evolution of constant torsion curves

Authors
Calini, AM Ivey, TA
Citation
Am. Calini et Ta. Ivey, Topology and sine-Gordon evolution of constant torsion curves, PHYS LETT A, 254(3-4), 1999, pp. 170-178
Citations number
13
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
254
Issue
3-4
Year of publication
1999
Pages
170 - 178
Database
ISI
SICI code
0375-9601(19990412)254:3-4<170:TASEOC>2.0.ZU;2-B
Abstract
The sine-Gordon equation with periodic boundary conditions describes integr able dynamics on the space of closed curves of constant torsion, for which multi-phase solutions provide large classes of canonical knot representativ es. In this Letter we discuss the use of Backlund transformations for study ing the topological properties and symmetries of multi-phase solutions and of their homoclinic manifolds. (C) 1999 Elsevier Science B.V.