
SIGMA 2 (2006), 032, 6 pages nlin.SI/0603009
https://doi.org/10.3842/SIGMA.2006.032
Localized Induction Equation for Stretched Vortex Filament
Kimiaki Konno ^{a} and Hiroshi Kakuhata ^{b}
^{a)} Department of Physics, College of Science and Technology, Nihon University,
Tokyo 1018308, Japan
^{b)} Toyama University, Toyama 9308555, Japan
Received October 05, 2005, in final form February 16, 2006; Published online March 02, 2006
Abstract
We study numerically the motion of the stretched vortex
filaments by using the localized induction equation with the
stretch and that without the stretch.
Key words:
localized induction equation; stretch; vortex filament.
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References
 Konno K., Kakuhata H., A new type of stretched solutions excited
by initially stretched vortex filaments for the local induction
equation, Theor. Math. Phys., 2005, V.144, 11811189.
 Arms R.J., Hama F.R., Localizedinduction concept on a curved
vortex and motion of an elliptic vortex ring, Phys. Fluids,
1965, V.8, 553559.
 Konno K., Kakuhata H., Stretching of vortex filament with
corrections, in Nonlinear Physics: Theory and Experiment, II
(2002, Gallipoli),
River Edge, NJ, World Scientific Publishing, 2003, 273279.
 Hashimoto H., A soliton on a vortex filament, J. Fluid
Mech., 1972, V.51, 477485.
 Konno K., Kakuhata H., A hierarchy for integrable equations of
stretched vortex filament, J. Phys. Soc. Japan, 2005,
V.74, 14271430.
 Konno K., Mitsuhashi T., Ichikawa Y.H., Dynamical processes of the
dressed ion acoustic solitons, J. Phys. Soc. Japan, 1977,
V.43, 669674.

