Point and Potential Symmetries of the Fokker-Planck Equation
Faya Doumbo Kamano, Bakary Manga, Jo\"el Tossa
TL;DR
This paper analyzes the Lie point symmetries of the Fokker-Planck equation, revealing its conserved form and potential symmetries, and provides example solutions to deepen understanding of its structure.
Contribution
It identifies the Lie point and potential symmetries of the Fokker-Planck equation and explores their implications for solution methods.
Findings
The Fokker-Planck equation admits a conserved form.
Potential symmetries are derived from an auxiliary system.
Examples of solutions are provided.
Abstract
We determine the Lie point symmetries of the Fokker-Planck equation and provide examples of solutions of this equation. The Fokker-Planck equation admits a conserved form, hence there is an auxiliary system associated to this equation and whose point symmetries give rise to potential symmetries of the Fokker-Planck equation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsProtein Structure and Dynamics · Molecular spectroscopy and chirality · Quantum chaos and dynamical systems