Lie symmetry analysis and some new exact solutions of the Fokker–Planck equation

Autor:	Samar Al-Nassar, Mehdi Nadjafikhah
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Fokker–Planck equation Lie symmetry analysis Classical symmetries Determining equations Infinitesimal generator Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	Arabian Journal of Mathematics, Vol 12, Iss 3, Pp 467-482 (2023)
Druh dokumentu:	article
ISSN:	2193-5343 2193-5351
DOI:	10.1007/s40065-023-00435-y
Popis:	Abstract The classical symmetry method is often employed to find precise solutions to differential equations. This method has yielded several new symmetry reductions and exact solutions for numerous theoretically and physically relevant partial differential equations. These results, as well as the symmetries of a variety of specific cases of the Fokker–Planck equation, were presented in this study using the classical Lie symmetry approach. New exact solutions to the Fokker–Planck equations are provided for each of the six cases.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9ec581d2bb0c42bd8e1e39a4f488f619 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF