Marinov, Petko I.; Mladenov, Ivaïlo M. A relation between the cylindric fluid membranes and the motions of planar curves. (English) Zbl 1375.53005 J. Geom. Symmetry Phys. 27, 93-102 (2012). 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) PDF BibTeX XML Cite \textit{P. I. Marinov} and \textit{I. M. Mladenov}, J. Geom. Symmetry Phys. 27, 93--102 (2012; Zbl 1375.53005) OpenURL