2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153785The planar filament equation and its relation to the modified Korteweg-deVries equation are studied in the context of Poisson geometry. The structure of the planar filament equation is shown to be similar to that of the 3-D localized induction equation, previously studied by the authors.13 pages, AMSTeX, includes four figures (use associated PS file). To appear in Mechanics Day Proceedings, Fields Institute, June 1992Exactly Solvable and Integrable Systemstext