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Discrete mKdV flow on discrete space curves

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Discrete Integrable Systems

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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