JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
Articles
Defocusing mKdV flow on centroaffine plane curves
Hyeongki ParkKenji KajiwaraTakashi KuroseNozomu Matsuura
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2018 Volume 10 Pages 25-28

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Abstract

We show that plane curves in the centroaffine geometry admit a flow which is described by the defocusing modified KdV equation. We establish a correspondence between this flow and the KdV flow in the equicentroaffine geometry. We also present an explicit formula for the KdV flow in terms of the $\tau$ function.

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© 2018, The Japan Society for Industrial and Applied Mathematics
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