Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions

Details Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions

2004-12-23

arxiv.org/abs/physics/0412153v1

Physics

Fluid Dynamics

11 pages, no figures

Scientific paper

The vortex filament equations (VFE) in 1+1 and 2+1 dimensions are considered.
Some of these equations are integrable. Also the VFE with potentials and with
self-consistent potentials are presented. Finally several examples of
integrable dispersionless VFE (dVFE) are considered.

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