Differential Geometry of the Vortex Filament Equation

Details Differential Geometry of the Vortex Filament Equation Differential Geometry of the Vortex Filament Equation

1996-11-11

arxiv.org/abs/hep-th/9611073v1

J.Geom.Phys. 28 (1998) 195-207

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, no figures

Scientific paper

Differential calculus on the space of asymptotically linear curves is developed. The calculus is applied to the vortex filament equation in its Hamiltonian description. The recursion operator generating the infinite sequence of commuting flows is shown to be hereditary. The system is shown to have a description with a Hamiltonian pair. Master symmetries are found and are applied to deriving an expression of the constants of motion in involution. The expression agrees with the inspection of Langer and Perline.

Affiliated with

Also associated with

No associations

Rating

Differential Geometry of the Vortex Filament Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Differential Geometry of the Vortex Filament Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Geometry of the Vortex Filament Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612761