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