Head-on collision between ion acoustic shock waves (IASWs) and the consequences after collision are investigated considering the plasma system to be consisting of relativistic warm ions and nonextensive electrons and positrons, taking into account the effects of nonlinearity and dispersion. Two-sided KdV-Burger equations are derived employing the extended Poincar-Lighthill-Kuo method. The results reveal that the plasma parameters are responsible for the modification of the structures along with phase shifts of the shock waves. The nonlinearity effects on IASWs in a highly relativistic regime (HRR) become pronounced rather than the weakly relativistic regime (WRR). The phase shifts of IASWs are enhanced by the relativistic streaming factor and superthermality. The electrostatic IASWs become rarefactive depending on temperatures, kinematic viscosity, and superthermality in both WRR and HRR. The amplitudes of IASWs are increasing for WRR but decreasing for HRR due to increasing ion thermal velocities. Besides, the amplitudes of the solitons are detaining due to the increase in the positron concentration for the depopulation of ions.
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July 2018
Research Article|
July 27 2018
Head-on collision of ion acoustic shock waves in electron-positron-ion nonextensive plasmas for weakly and highly relativistic regimes Available to Purchase
M. S. Alam;
M. S. Alam
1
Department of Applied Mathematics, University of Rajshahi
, Rajshahi 6205, Bangladesh
2
Department of Mathematics, Chittagong University of Engineering and Technology
, Chittagong 4349, Bangladesh
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M. G. Hafez
;
M. G. Hafez
2
Department of Mathematics, Chittagong University of Engineering and Technology
, Chittagong 4349, Bangladesh
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M. R. Talukder
;
M. R. Talukder
a)
3
Plasma Science and Technology Lab, Department of Applied Physics and Electronic Engineering, University of Rajshahi
, Rajshahi 6205, Bangladesh
a)Author to whom correspondence should be addressed: [email protected]
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M. Hossain Ali
M. Hossain Ali
1
Department of Applied Mathematics, University of Rajshahi
, Rajshahi 6205, Bangladesh
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M. S. Alam
1,2
M. G. Hafez
2
M. R. Talukder
3,a)
M. Hossain Ali
1
1
Department 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
a)Author to whom correspondence should be addressed: [email protected]
Phys. Plasmas 25, 072904 (2018)
Article history
Received:
April 27 2018
Accepted:
June 26 2018
Citation
M. S. Alam, M. G. Hafez, M. R. Talukder, M. Hossain Ali; Head-on collision of ion acoustic shock waves in electron-positron-ion nonextensive plasmas for weakly and highly relativistic regimes. Phys. Plasmas 1 July 2018; 25 (7): 072904. https://doi.org/10.1063/1.5037788
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