Ion acoustic shock and periodic waves through Burgers equation in weakly and highly relativistic plasmas with nonextensivity  

作　　者：M G HAFEZ N C ROY M R TALUKDER M HOSSAIN ALI 

机构地区：[1]Department of of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh [2]Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349,Bangladesh [3]Plasma Science and Technology Lab, Department of Applied Physics and Electronic Engineering,University of Rajshahi, Rajshahi-6205, Bangladesh

出　　处：《Plasma Science and Technology》2017年第1期7-19,共13页等离子体科学和技术（英文版）

摘　　要：A comparative study is carried out for the nonlinear propagation of ion acoustic shock waves both for the weakly and highly relativistic plasmas consisting of relativistic ions and qdistributed electrons and positions.The Burgers equation is derived to reveal the physical phenomena using the well known reductive perturbation technique.The integration of the Burgers equation is performed by the（G￠/G）-expansion method.The effects of positron concentration,ion–electron temperature ratio,electron–positron temperature ratio,ion viscosity coefficient,relativistic streaming factor and the strength of the electron and positron nonextensivity on the nonlinear propagation of ion acoustic shock and periodic waves are presented graphically and the relevant physical explanations are provided.A comparative study is carried out for the nonlinear propagation of ion acoustic shock waves both for the weakly and highly relativistic plasmas consisting of relativistic ions and qdistributed electrons and positions.The Burgers equation is derived to reveal the physical phenomena using the well known reductive perturbation technique.The integration of the Burgers equation is performed by the（G￠/G）-expansion method.The effects of positron concentration,ion–electron temperature ratio,electron–positron temperature ratio,ion viscosity coefficient,relativistic streaming factor and the strength of the electron and positron nonextensivity on the nonlinear propagation of ion acoustic shock and periodic waves are presented graphically and the relevant physical explanations are provided.

关 键 词：electron-positron-ion plasmas ion acoustic shock and periodic waves weakly and highly relativistic effects Burgers equation 

分 类 号：O175[理学—数学] O53[理学—基础数学]