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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

The planar filament equation

Authors	Joel Langer, Ron Perline
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9403001
URL	https://arxiv.org/abs/solv-int/9403001

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.

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    "abstract": "The planar filament equation and its relation to the modified\nKorteweg-deVries equation are studied in the context of Poisson geometry. The\nstructure of the planar filament equation is shown to be similar to that of the\n3-D localized induction equation, previously studied by the authors.",
    "arxiv_id": "solv-int/9403001",
    "authors": [
      "Joel Langer",
      "Ron Perline"
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    "categories": [
      "solv-int",
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    "title": "The planar filament equation",
    "url": "https://arxiv.org/abs/solv-int/9403001"
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