Lie symmetries of some equations of the Fokker–Planck type

DOI10.1063/1.526681zbMath0591.35074OpenAlexW2021100945MaRDI QIDQ3719166

Kenneth A. Dunn, Chelluri C. A. Sastri

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526681

zbMATH Keywords

partially invariant solutionslocal Lie groupsFokker-Planck type

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (10)

Symmetry of stochastic non-variational differential equations ⋮ Symmetry classification and exact solutions of the Kramers equation ⋮ Mapping method of group classification ⋮ Equivalence and symmetries for variable coefficient linear heat type equations. I ⋮ Symmetry analysis of the Kramers equation ⋮ Lie symmetry analysis and some new exact solutions of the Fokker-Planck equation ⋮ The reducibility of partially invariant solutions of systems of partial differential equations ⋮ Ovsiannikov’s method and the construction of partially invariant solutions ⋮ Conservation laws and potential symmetries of linear parabolic equations ⋮ Potential symmetries and invariant solutions for the generalized one-dimensional Fokker-Planck equation

Cites Work

• Group-invariant solutions of the Fokker-Planck equation
• Similarity solutions of the one-dimensional Fokker-Planck equation
• Some classes of exact solutions of the nonlinear Boltzmann equation
• On the Transformation of Diffusion Processes into the Wiener Process
• Stochastic Problems in Physics and Astronomy

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