N-Solitons on a Curved Vortex Filament with Axial Flow

Takeshi Miyazaki; Yasuhide Fukumoto

doi:10.1143/JPSJ.57.3365

N-Solitons on a Curved Vortex Filament with Axial Flow

Takeshi Miyazaki, Yasuhide Fukumoto

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 language	English
Pages (from-to)	3365-3370
Number of pages	6
Journal	Journal of the Physical Society of Japan
Volume	57
Issue number	10
DOIs	https://doi.org/10.1143/JPSJ.57.3365
Publication status	Published - Jan 1 1988
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.57.3365

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