LOCAL GEOMETRIC INVARIANTS OF INTEGRABLE EVOLUTION-EQUATIONS

Authors
LANGER J PERLINE R
Citation
J. Langer et R. Perline, LOCAL GEOMETRIC INVARIANTS OF INTEGRABLE EVOLUTION-EQUATIONS, Journal of mathematical physics, 35(4), 1994, pp. 1732-1737
Citations number
38
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
4
Year of publication
1994
Pages
1732 - 1737
Database
ISI
SICI code
0022-2488(1994)35:4<1732:LGIOIE>2.0.ZU;2-T
Abstract
The integrable hierarchy of commuting vector fields for the localized induction equation of 3D hydrodynamics, and its associated recursion o perator, are used to generate families of integrable evolution equatio ns which preserve local geometric invariants of the evolving curve or swept-out surface.