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

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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.
11 pages, no figures

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Fluid Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/86763

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0412153
 http://arxiv.org/abs/physics/0412153

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arXiv