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, issue 1

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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https://doi.org/10.1155/2020/4975943

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:4975943

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