N-Solitons on a Curved Vortex Filament

Yasuhide Fukumoto, Takeshi Miyazaki

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The motion of a thin vortex filament in an incompressible inviscid fluid is investigated theoretically, based on the localized induction equation. The N-soliton solution is given explicitly, using the bilinear equations obtained by Hirota. a detailed examination of the solution shows that two solitons with large lateral excursion suffer backward phase-shifts during a head-on collision. The present solution also generates the N-soliton solution of the classical 1-dim. continuous Heisenberg ferromagnet equation.

Original languageEnglish
Pages (from-to)4152-4155
Number of pages4
Journaljournal of the physical society of japan
Volume55
Issue number12
DOIs
Publication statusPublished - Dec 1986
Externally publishedYes

Fingerprint

vortex filaments
solitary waves
induction
phase shift
examination
collisions
fluids

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

N-Solitons on a Curved Vortex Filament. / Fukumoto, Yasuhide; Miyazaki, Takeshi.

In: journal of the physical society of japan, Vol. 55, No. 12, 12.1986, p. 4152-4155.

Research output: Contribution to journalArticle

Fukumoto, Yasuhide ; Miyazaki, Takeshi. / N-Solitons on a Curved Vortex Filament. In: journal of the physical society of japan. 1986 ; Vol. 55, No. 12. pp. 4152-4155.
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