Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth
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 c...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/4975943 |
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| _version_ | 1832550497242841088 |
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| author | Jia Zheng |
| author_facet | Jia Zheng |
| author_sort | Jia Zheng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-80b147200ac1424cb4eda70753422617 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-80b147200ac1424cb4eda707534226172025-02-03T06:06:42ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/49759434975943Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population GrowthJia Zheng0College of Science, Minzu University of China, Beijing 100081, ChinaIn 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.http://dx.doi.org/10.1155/2020/4975943 |
| spellingShingle | Jia Zheng Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth Advances in Mathematical Physics |
| title | Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth |
| title_full | Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth |
| title_fullStr | Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth |
| title_full_unstemmed | Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth |
| title_short | Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth |
| title_sort | lie symmetry analysis and invariant solutions of a nonlinear fokker planck equation describing cell population growth |
| url | http://dx.doi.org/10.1155/2020/4975943 |
| work_keys_str_mv | AT jiazheng liesymmetryanalysisandinvariantsolutionsofanonlinearfokkerplanckequationdescribingcellpopulationgrowth |