Symmetry analysis of the Kramers equation

DOI10.1016/S0034-4877(97)85623-6zbMath0902.60070OpenAlexW2024461093MaRDI QIDQ1381959

Stanislav Spichak, Valerii Stognii

Publication date: 2 December 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85623-6

zbMATH Keywords

Fokker-Planck equation

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (3)

Extended symmetry analysis of remarkable (1+2)-dimensional Fokker–Planck equation ⋮ Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic Kolmogorov - Fokker - Planck equations ⋮ Group Classification of a Class of Kolmogorov Equations with Time-Dependent Coefficients

Cites Work

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• The Fokker-Planck equation. Methods of solution and applications.
• Similarity methods for differential equations
• Group-invariant solutions of the Fokker-Planck equation
• Lie algebraic solutions of linear Fokker–Planck equations
• Lie symmetries of some equations of the Fokker–Planck type
• Generalised symmetries of Fokker-Planck-type equations
• Symmetry properties of one- and two-dimensional Fokker-Planck equations
• Algebraic structure of diffusion and scattering in one dimension
• The use of Lie transformation groups in the solution of the coupled diffusion equation

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