A Relation Between the Cylindric Fluid Membranes and the Motions of Planar Curves

Petko I. Marinov; Ivaïlo Mladenov

doi:10.7546/jgsp-27-2012-93-102

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2012 A Relation Between the Cylindric Fluid Membranes and the Motions of Planar Curves

Petko I. Marinov, Ivaïlo Mladenov

J. Geom. Symmetry Phys. 27: 93-102 (2012). DOI: 10.7546/jgsp-27-2012-93-102

Abstract

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.

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Petko I. Marinov. Ivaïlo Mladenov. "A Relation Between the Cylindric Fluid Membranes and the Motions of Planar Curves." J. Geom. Symmetry Phys. 27 93 - 102, 2012. https://doi.org/10.7546/jgsp-27-2012-93-102