MOTION AND BÄCKLUND TRANSFORMATIONS OF DISCRETE PLANE CURVES

Jun-ichi INOGUCHI; Kenji KAJIWARA; Nozomu MATSUURA; Yasuhiro OHTA

doi:10.2206/kyushujm.66.303

66-2 Contents

MOTION AND BÄCKLUND TRANSFORMATIONS OF DISCRETE PLANE CURVES

Jun-ichi INOGUCHI, Kenji KAJIWARA, Nozomu MATSUURA, Yasuhiro OHTA

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Keywords: discrete curves, discrete motion, discrete potential mKdV equation, discrete integrable systems, τ function, Bäcklund transformation

JOURNAL FREE ACCESS

2012 Volume 66 Issue 2 Pages 303-324

DOI https://doi.org/10.2206/kyushujm.66.303

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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.

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