Isoperimetric deformations of curves on the Minkowski plane

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

研究成果: Article

抜粋

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.

元の言語English
ジャーナルInternational Journal of Geometric Methods in Modern Physics
DOI
出版物ステータスPublished - 2019 1 1

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ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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