Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth

الملخص EN

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.