First integrals of the axisymmetric shape equation of lipid membranes
First integrals of the axisymmetric shape equation of lipid membranes
The shape equation of lipid membranes [Zhong-can and Helfrich(1987) PRL 59 2486] is a fourth-order partial differential equation.Under the axisymmetric condition, this equation was transformed into a second-order ordinary differential equation (ODE) by Zheng andLiu [Zheng and Liu(1993) PRE 48 2856].Here we try to further reduce this second-order ODE to …