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

Author

Zheng, Jia

Source

Advances in Mathematical Physics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-01-13

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Physics

Abstract EN

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.

American Psychological Association (APA)

Zheng, Jia. 2020. Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127400

Modern Language Association (MLA)

Zheng, Jia. Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth. Advances in Mathematical Physics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1127400

American Medical Association (AMA)

Zheng, Jia. Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127400

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1127400