Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2010-08-17
Nonlinear Sciences
Exactly Solvable and Integrable Systems
23 pages, 4 figures; Introduction has been revised. Errors have been fixed
Scientific paper
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.
Inoguchi Jun-ichi
Kajiwara Kenji
Matsuura Nozomu
Ohta Yasuhiro
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