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

2004/12/23 by R. Myrzakulov, Myrzakulov, R.
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.physics/0412153

11 pages, no figures

arxiv created 2004/12/23 · arxiv updated 2009/12/01

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.

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