Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves

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

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We construct explicit solutions to continuous motion of discrete plane curves described by a semi-discrete potential modified KdV equation. Explicit formulas in terms of the function are presented. Bäcklund transformations of the discrete curves are also discussed. We finally consider the continuous limit of discrete motion of discrete plane curves described by the discrete potential modified KdV equation to motion of smooth plane curves characterized by the potential modified KdV equation.

Original languageEnglish
Article number045206
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number4
DOIs
Publication statusPublished - Feb 3 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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