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A relation between the cylindric fluid membranes and the motions of planar curves. (English) Zbl 1375.53005

Summary: We observe a relation between the mKdV equation and the cylindrical equilibrium shapes of fluid membranes. In our setup mKdV arises from the study of the evolution of planar curves.

MSC:

53A05 Surfaces in Euclidean and related spaces
35Q53 KdV equations (Korteweg-de Vries equations)
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