Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves

Bao Feng Feng, Jun Ichi Inoguchi, Kenji Kajiwara, Ken Ichi Maruno, Yasuhiro Ohta

研究成果: Article査読

23 被引用数 (Scopus)

抄録

We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the WadatiKonnoIchikawa elastic beam equation, the complex Dym equation and the short pulse equation. They are related to the modified KdV or the sineGordon equations by the hodograph transformations. Based on the observation that the hodograph transformations are regarded as the EulerLagrange transformations of the curve motions, we construct the discrete analogues of the hodograph transformations, which yield integrable discretizations of those soliton equations.

本文言語English
論文番号395201
ジャーナルJournal of Physics A: Mathematical and Theoretical
44
39
DOI
出版ステータスPublished - 2011 9 30
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • モデリングとシミュレーション
  • 数理物理学
  • 物理学および天文学(全般)

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