Discrete local induction equation

Sampei Hirose, Jun Ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

Research output: Contribution to journalArticlepeer-review

Abstract

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 nonlinear Schrödinger equation. In this paper, we present its discrete analogue, namely, a model of deformation of discrete space curves by the discrete nonlinear Schrödinger equation. We also present explicit formulas for both smooth and discrete curves in terms of τ functions of the two-component KP hierarchy.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Aug 4

ASJC Scopus subject areas

  • General

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