N-Solitons on a Curved Vortex Filament with Axial Flow

Takeshi Miyazaki, Yasuhide Fukumoto

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Abstract

The long bending motion of a thin vortex filament with axial flow inside the core is investigated theoretically. The fluid outside the vortex core is assumed to be incompressible, inviscid and irrotational. A new integrable nonlinear equation, valid under the assumption of local induction, is proposed. This equation is shown to be equivalent to the Hirota equation and the N-soliton solution is given explicitly, using the Hirota's method of bilinear form.

Original languageEnglish
Pages (from-to)3365-3370
Number of pages6
JournalJournal of the Physical Society of Japan
Volume57
Issue number10
DOIs
Publication statusPublished - Jan 1 1988
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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