The planar filament equation

Joel Langer; Ron Perline

doi:10.48550/arxiv.solv-int/9403001

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The planar filament equation

Joel Langer and Ron Perline

25 Mar 1994

DOI: https://doi.org/10.48550/arxiv.solv-int/9403001

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Abstract

Physics - Exactly Solvable and Integrable Systems

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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Title: The planar filament equation
Creators: Joel Langer - Case Western Reserve University
Ron Perline - Drexel University
Resource Type: Preprint
Language: English
Academic Unit: Mathematics
Other Identifier: 991021880192504721

The planar filament equation

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Abstract

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