The planar filament equation

Details The planar filament equation The planar filament equation

1994-03-25

arxiv.org/abs/solv-int/9403001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, AMSTeX, includes four figures (use associated PS file). To appear in Mechanics Day Proceedings, Fields Institute, Ju

Scientific paper

The 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.

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