NIFS-063

FULL TEXT (PDF, 659 KB)

Author(s):

K.Konno., M.Mituhashi, Yoshi H.Ichikawa

Title:

Soliton on Thin Vortex Filament

Date of publication:

Dec. 1990

Key words:

soliton, thin vortex filament, vortex soliton inverse scattering transformation

Abstract:

Showing that one of the equations found by Wadati Konno and Ichikawa is equivalent to the equation of motion of a thin vortex filament, we investigate solitons on the vortex filament. N vortex soliton solution is given in terms of the inverse scattering method. We examine two soliton collision processes on the filament. Our analysis provides the theoretical foundation of two soliton collision processes observed numerically by Aref and Flinchem.

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