"Lie symmetries of the nonlinear Fokker-Planck equation based on weighted Tsallis entropy"

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.07

C. Pripoae, I. Hiricǎ, G. Pripoae, V. Preda

引用次数: 3

Abstract

"We determine the nonlinear Fokker-Planck equation in one dimension, based on a weighted Tsallis entropy and we derive its associated Lie symmetries. The corresponding Lyapunov functions and Breg- man divergences are also found, together with a formula linking the drift function, the diffusion function and a diffusion constant. We solve the MaxEnt problem associated to the weighted Tsallis entropy."

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“基于加权Tsallis熵的非线性福克-普朗克方程的李对称性”

“基于加权的Tsallis熵，我们确定了一维的非线性Fokker-Planck方程，并推导了其相关的Lie对称性。得到了相应的Lyapunov函数和Breg- man散度，并给出了将漂移函数、扩散函数和扩散常数联系起来的公式。我们解决了与加权Tsallis熵相关的MaxEnt问题。”

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

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.