2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/86763The 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 figuresFluid Dynamicstext