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

M G HAFEZ; N C ROY; M R TALUKDER; M HOSSAIN ALI

doi:10.1088/1009-0630/19/1/015002

Plasma Science and Technology > 2017 > 19(1): 15002-015002. > DOI: 10.1088/1009-0630/19/1/015002

M G HAFEZ, N C ROY, M R TALUKDER, M HOSSAIN ALI. Ion acoustic shock and periodic waves through Burgers equation in weakly and highly relativistic plasmas with nonextensivity[J]. Plasma Science and Technology, 2017, 19(1): 15002-015002. DOI: 10.1088/1009-0630/19/1/015002

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

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

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Received Date: May 17, 2016

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Abstract

Abstract

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 q-distributed 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.

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References (48)

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