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

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-06-20 DOI:10.1007/s40065-023-00435-y

Samar Al-Nassar, Mehdi Nadjafikhah

引用次数: 0

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.

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李对称性分析和Fokker-Planck方程的一些新的精确解

经典对称方法经常被用来寻找微分方程的精确解。这种方法已经为许多理论和物理相关的偏微分方程产生了几个新的对称性约简和精确解。这些结果，以及福克-普朗克方程的各种特定情况的对称性，在本研究中使用经典的李对称方法给出。对于这六种情况中的每一种，都提供了福克-普朗克方程的新的精确解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.