MOTION AND BACKLUND TRANSFORMATIONS OF DISCRETE PLANE CURVES

作者：Inoguchi Jun ichi^*; Kajiwara Kenji; Matsuura Nozomu; Ohta Yasuhiro

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

DOI：10.2206/kyushujm.66.303

• discrete curves
• discrete motion
• discrete potential mKdV equation
• discrete integrable systems
• tau function
• Backlund transformation

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 tau function are presented. Transformation theory of the motions of both smooth and discrete curves is developed simultaneously.

• 出版日期2012-9