Transport Property of Hasimoto-Vortex-Soliton

Abstract

Some transport properties of a vortex-soliton; a kink type motion of a thin vortex filament enlightened by Hasimoto, are studied. Especially, the virtual momentum and the virtual angular momentum are investigated. It is found that finite amount of these quantities are transferred, whose values depend on two constants that characterize the shape of the kink; the torsion and the maximum curvature, in the same direction with the soliton.