Kimiaki KONNO
Department of Physics,
College of Science and Techology,
Nihon University,
1-8 Kanda-Surugadai,
Chiyoda-ku,
Tokyo 101-8308,
JAPAN
E-mail: konno@phys.cst.nihon-u.ac.jp

A Hierarchy for Integrable Equations of Stretched Vortex Filament

Abstract:
A hierarchy for integrable equations of stretched vortex filament is derived with the inverse scattering method in which a natural extension of the local induction equation is obtained. An infinite number of conserved quantities is presented.