Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255370 | Journal of Geometry and Physics | 2018 | 36 Pages |
Abstract
The localized induction hierarchy is the integrable hierarchy for the localized induction equation, a geometric evolution equation for space curves modeled on the motion of vortex filaments. A solution of the nth stationary equation associated to the localized induction hierarchy is called an nth soliton curve. In this paper, we consider soliton curves in simply-connected three-dimensional space forms. In particular, we give explicit expressions of nth soliton curves in terms of the natural curvatures.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Satoshi Kawakubo,