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

Jia Zheng

Advances in Mathematical Physics, 2020, vol. 2020, 1-7

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4975943

DOI: 10.1155/2020/4975943

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