scholarly journals Group-invariant solutions of the Fokker-Planck equation

1977 ◽  
Vol 5 (2) ◽  
pp. 157-171 ◽  
Author(s):  
G.A. Nariboli
Keyword(s):  
Planck Equation ◽  
Invariant Solutions ◽  
Group Invariant ◽  
Fokker Planck Equation ◽  
Group Invariant Solutions ◽  
Fokker Planck

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

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Jia Zheng
Keyword(s):  
Planck Equation ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Power Series Solution ◽  
Invariant Solutions ◽  
Lie Symmetry Analysis ◽  
Fokker Planck Equation ◽  
Growing Cell ◽  
Cell Population Growth ◽  
Fokker Planck

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.

Generalized canonical formalism for the Fokker-Planck equation with scale-invariant solutions

2007 ◽  
Author(s):  
Sumiyoshi Abe ◽  
Sumiyoshi Abe ◽  
Hans Herrmann ◽  
Piero Quarati ◽  
Andrea Rapisarda ◽  
...  
Keyword(s):  
Canonical Formalism ◽  
Planck Equation ◽  
Invariant Solutions ◽  
Scale Invariant ◽  
Fokker Planck Equation ◽  
Fokker Planck

AN APPLICATION OF FOKKER–PLANCK EQUATION TO JOSEPHSON JUNCTION

1989 ◽  
Vol 9 (1) ◽  
pp. 109-120
Author(s):  
G. Liao ◽  
A.F. Lawrence ◽  
A.T. Abawi
Keyword(s):  
Josephson Junction ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Fokker Planck
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