Motion and B\"acklund Transformations of Discrete Plane Curves
classification
🌊 nlin.SI
math.DG
keywords
discretecurvesexplicitmotionplaneacklundauthorsbeen
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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 the $\tau$ function are presented. Transformation theory of the motions of both smooth and discrete curves is developed simultaneously.
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