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Discrete mKdV flow on discrete space curves

Kajiwara, K (Kyushu University)
Wednesday 10 July 2013, 11:30-12:00

Seminar Room 1, Newton Institute


We formulate the isoperimetric motion of the discrete curves in $\mathbb{R}^3$ described by the discrete mKdV equation. Not only formulating the motion on the level of the Frenet frame determined by the Lax pair, we "integrate" it to give the explicit formula on the level of the curve itself. This work has been done in collaboration with J. Inoguchi, N. Matsuura and Y. Ohta.


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