Group analysis of the membrane shape equation

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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28 pages, LaTex

Scientific paper

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.

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