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

Author:

Zheng Jia1ORCID

Affiliation:

1. College of Science, Minzu University of China, Beijing 100081, China

Abstract

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.

Funder

National Social Science Fund Youth Project of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

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