Lie symmetry analysis and invariant solutions of a nonlinear Fokker-Planck equation describing cell population growth (Q2308029)

Summary: In this paper, a complete Lie symmetry analysis is performed for a nonlinear Fokker-Planck equation for growing cell populations. Moreover, an optimal system of one-dimensional subalgebras is constructed and used to find similarity reductions and invariant solutions. A new power series solution is constructed via the reduced equation, and its convergence is proved.