On Time-Fractional Cylindrical Nonlinear Equation  

作　　者：H.G.Abdelwahed E.K.ElShewy A.A.Mahmoud 

机构地区：[1]College of Science and Humanitarian Studies,Physics Department,Prince Sattam Bin Abdul Aziz University [2]Theoretical Physics Research Group,Physics Department,Faculty of Science,Mansoura University

出　　处：《Chinese Physics Letters》2016年第11期62-66,共5页中国物理快报（英文版）

基　　金：Supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under Grant No 2016/01/6239

摘　　要：Properties of cylindrical electron acoustic solitons are studied in vortex plasmas. The modil^ea cylindrical Korteweg-de Vries （KdV） equation is acquired and converted into the time fractional cylindrical modified KdV equation by Agrawal＇s analysis. Via the Adomian decomposition method, a cylindrical soliton solution to the equation is obtained. The cylindrical time fractional effect on the wave properties is investigated. Further, the increase of the fractional order of time α and hot to trapped electrons temperature β are minimized in both solitary width and amplitude. These influences on the structures of the soliton may be an alternative to the use of higher order perturbation analysis.Properties of cylindrical electron acoustic solitons are studied in vortex plasmas. The modil^ea cylindrical Korteweg-de Vries （KdV） equation is acquired and converted into the time fractional cylindrical modified KdV equation by Agrawal＇s analysis. Via the Adomian decomposition method, a cylindrical soliton solution to the equation is obtained. The cylindrical time fractional effect on the wave properties is investigated. Further, the increase of the fractional order of time α and hot to trapped electrons temperature β are minimized in both solitary width and amplitude. These influences on the structures of the soliton may be an alternative to the use of higher order perturbation analysis.

关 键 词：of IS as DE ET in been FORM that 

分 类 号：O53[理学—等离子体物理]