Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth
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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.
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2021 ◽
Vol 136
(2)
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2006 ◽
Vol 50
(1-2)
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pp. 17-21
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1977 ◽
Vol 5
(2)
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pp. 157-171
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2018 ◽
Vol 3
(2)
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pp. 25
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2020 ◽
Vol 43
(15)
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pp. 8823-8840
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2021 ◽
Vol 93
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pp. 105506
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