Isoperimetric deformations of curves on the Minkowski plane

Hyeongki Park, Jun Ichi Inoguchi, Kenji Kajiwara, Ken Ichi Maruno, Nozomu Matsuura, Yasuhiro Ohta

研究成果: Contribution to journalArticle査読

抄録

We formulate an isoperimetric deformation of curves on the Minkowski plane, which is governed by the defocusing modified Korteweg-de Vries (mKdV) equation. Two classes of exact solutions to the defocusing mKdV equation are also presented in terms of the τ functions. By using one of these classes, we construct an explicit formula for the corresponding motion of curves on the Minkowski plane even though those solutions have singular points. Another class gives regular solutions to the defocusing mKdV equation. Some pictures illustrating the typical dynamics of the curves are presented.

本文言語英語
論文番号1950100
ジャーナルInternational Journal of Geometric Methods in Modern Physics
16
7
DOI
出版ステータス出版済み - 1 1 2019

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(その他)

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