Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions
Fluid Dynamics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0412153,
title = {Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions},
author = {R. Myrzakulov},
journal= {arXiv preprint arXiv:physics/0412153},
year = {2007}
}
Comments
11 pages, no figures