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Transverse instability of ion acoustic solitons in a magnetized plasma including $q$-nonextensive electrons and positrons

Published online by Cambridge University Press:  04 September 2015

N. Akhtar ,
W. F. El-Taibany ,
S. Mahmood ,
E. E. Behery ,
S. A. Khan ,
S. Ali  and
S. Hussain
N. Akhtar*
Affiliation:
Theoretical Physics Division (TPD), PINSTECH P.O. Nilore, Islamabad 44000, Pakistan Department of Physics and Applied Mathematics (DPAM), PIEAS P.O. Nilore, Islamabad 44000, Pakistan
W. F. El-Taibany
Affiliation:
Department of Physics, Faculty of Science, Damietta University, New Damietta, P.O. 34517, Egypt Department of Physics, College of Science for Girls in Abha, King Khalid University, P.O. 960, Abha, Kingdom of Saudi Arabia
S. Mahmood
Affiliation:
Theoretical Physics Division (TPD), PINSTECH P.O. Nilore, Islamabad 44000, Pakistan Department of Physics and Applied Mathematics (DPAM), PIEAS P.O. Nilore, Islamabad 44000, Pakistan National Centre for Physics (NCP), Quaid-i-Azam University Campus, Shahdra Valley Road, Islamabad 44000, Pakistan
E. E. Behery
Affiliation:
Department of Physics, Faculty of Science, Damietta University, New Damietta, P.O. 34517, Egypt
S. A. Khan
Affiliation:
National Centre for Physics (NCP), Quaid-i-Azam University Campus, Shahdra Valley Road, Islamabad 44000, Pakistan
S. Ali
Affiliation:
National Centre for Physics (NCP), Quaid-i-Azam University Campus, Shahdra Valley Road, Islamabad 44000, Pakistan
S. Hussain
Affiliation:
Theoretical Physics Division (TPD), PINSTECH P.O. Nilore, Islamabad 44000, Pakistan Department of Physics and Applied Mathematics (DPAM), PIEAS P.O. Nilore, Islamabad 44000, Pakistan
*
†Email addresses for correspondence: naseemqau@gmail.com, naseem_qau@yahoo.com
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Abstract

A nonlinear Zakharov–Kuznetsov (ZK) equation for ion acoustic solitary waves (IASWs) is derived using the reductive perturbation method (RPM) for magnetized plasmas in which the inertialess electrons and positrons are nonextensively $q$-distributed while ions are assumed to be warm and inertial. It is found that both compressive as well as rarefactive solitons coexist in the present model for different regions of non-extensive electron and positron parameters, $q_{e}$ and $q_{p}$. The magnetic field has no effect on the amplitude of the IASW, whereas the obliqueness angle of the wave propagation, the ion-to-electron temperature ratio ${\it\sigma}$ and positron-to-ion density concentration ratio $p$ affect both the amplitude and the width of the solitary wave structures. The transverse instability analysis illustrates that the one soliton solution has a constant growth rate, and it suffers from instability in the transverse direction. The relevance of the present study to astrophysical space plasmas is also discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 5 , October 2015 , 905810518
Copyright
© Cambridge University Press 2015 

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