Group analysis of the membrane shape equation
arXiv:cond-mat/0201044 · doi:10.1142/9789812704467_0031
Abstract
A system of PDE describing bilayers amphiphilic membranes is studied by Lie group analysis. This algorithmic approach allows us to show all the symmetries of the system, to determine all possible symmetry reductions, to recover the axisymmetric solutions, obtained by other euristic methods, and finally to address the question of new similarity solutions.
28 pages, LaTex