抄録
The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the complex curvature is governed by the non-linear Schrödinger equation. In this article, we present its discrete analogue, namely, a model of deformation of discrete space curves by the discrete non-linear Schrödinger equation. We also present explicit formulas for both smooth and discrete curves in terms of τ functions of the two-component KP hierarchy.
| 本文言語 | 英語 |
|---|---|
| 論文番号 | xyz003 |
| ジャーナル | Journal of Integrable Systems |
| 巻 | 4 |
| 号 | 1 |
| DOI | |
| 出版ステータス | 出版済み - 6月 9 2019 |