Search for the symmetry of the Fokker-Planck equation
type: Item
instance of: scholarly article
title: Search for the symmetry of the Fokker-Planck equation
zbMATH Open document ID: 0604.58052
DOI: 10.1016/0378-4371(84)90190-0
author: Ing An
author: Shi Chen
author: Han-Ying Guo
published in: Physica A
publication date: 1984-01-01T00:00:00Z
review text: It is shown that the Fokker-Planck equations with linear drift \(\gamma\) x and nonlinear drift \(\gamma x+\delta /x\), i.e. the Rayleigh process, have exact symmetries on their own solution manifolds, the sl(2,R)\(\otimes\) Weyl algebra and the sl(2,R)\(\otimes I\), respectively. The symmetries of these two types of processes for \(1+2\)-dimensional cases are explicitly found out too.
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 58J90
zbMATH DE Number: 3975959
zbMATH Keywords: Fokker-Planck equations
zbMATH Keywords: symmetries
MaRDI profile type: Publication
full work available at URL: 0378-4371(84)90190-0
OpenAlex ID: W2066986693
cites work: New unified formulation of transient phenomena near the instability point on the basis of the Fokker-Planck equation
cites work: Q4145991
description: scientific article; zbMATH DE number 3975959