The planar filament equation
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.solv-int/9403001,
title = {The planar filament equation},
author = {Joel Langer and Ron Perline},
journal= {arXiv preprint arXiv:solv-int/9403001},
year = {2008}
}
Comments
13 pages, AMSTeX, includes four figures (use associated PS file). To appear in Mechanics Day Proceedings, Fields Institute, June 1992