N-Solitons on a Curved Vortex Filament with Axial Flow

Takeshi Miyazaki, Yasuhide Fukumoto

研究成果: ジャーナルへの寄稿記事

7 引用 (Scopus)

抜粋

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.

元の言語英語
ページ(範囲)3365-3370
ページ数6
ジャーナルJournal of the Physical Society of Japan
57
発行部数10
DOI
出版物ステータス出版済み - 1 1 1988
外部発表Yes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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