{"title":"\"Lie symmetries of the nonlinear Fokker-Planck equation based on weighted Tsallis entropy\"","authors":"C. Pripoae, I. Hiricǎ, G. Pripoae, V. Preda","doi":"10.37193/cjm.2022.03.07","DOIUrl":null,"url":null,"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.\"","PeriodicalId":50711,"journal":{"name":"Carpathian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2022-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Carpathian Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.37193/cjm.2022.03.07","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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."
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
