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

R. Myrzakulov
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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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R. Myrzakulov. 2004-12-23. Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions. https://arxiv.org/abs/physics/0412153

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