MOTION AND BÄCKLUND TRANSFORMATIONS OF DISCRETE PLANE CURVES

• INOGUCHI Jun-ichi

  Department of Mathematical Sciences Yamagata University

• KAJIWARA Kenji

  Institute of Mathematics for Industry Kyushu University

• MATSUURA Nozomu

  Department of Applied Mathematics Fukuoka University

• OHTA Yasuhiro

  Department of Mathematics Kobe University

Bibliographic Information

Other Title

• MOTION AND B^|^Auml;CKLUND TRANSFORMATIONS OF DISCRETE PLANE CURVES

Abstract

We construct explicit solutions to the discrete motion of discrete plane curves that has been introduced by one of the authors recently. Explicit formulas in terms of the τ function are presented. Transformation theory of the motions of both smooth and discrete curves is developed simultaneously.

Journal

• Kyushu Journal of Mathematics

  Kyushu Journal of Mathematics 66 (2), 303-324, 2012

  Faculty of Mathematics, Kyushu University

Keywords

• discrete curves
• discrete motion
• discrete potential mKdV equation
• discrete integrable systems
• τ function
• Bäcklund transformation

Details

• CRID: 1390001205227753216
• NII Article ID: 130002543078
• DOI: 10.2206/kyushujm.66.303
• ISSN: 18832032
• ISSN: 13406116
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/66/2/66_303/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed