title: Vortex filament motion under the localized induction approximation in terms of Weierstrass elliptic functions.
abstract: We study quasiperiodic solutions of the localized induction approximation in terms of the elliptic functions of Weierstrass. They describe the Kida-class motion of a thin vortex filament in an incompressible inviscid fluid. Our solution includes various filament shapes such as the vortex ring, the helicoidal filament, the plane sinusoidal filament, and the Hasimoto type-1 soliton filament.
authors.affiliation: Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul 130-701, Korea. hjshin@khu.ac.kr
authors.forename: H J
authors.initials: HJ
authors.lastname: Shin