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Modified Zakharov–Kuznetsov equation for a non-uniform electron–positron–ion magnetoplasma with kappa-distributed electrons

Published online by Cambridge University Press:  13 July 2015

Ali Ahmad  and
W. Masood
Ali Ahmad
Affiliation:
National Centre for Physics, Quaid-i-Azam University Campus, Islamabad 44000, Pakistan
W. Masood*
Affiliation:
National Centre for Physics, Quaid-i-Azam University Campus, Islamabad 44000, Pakistan Department of Physics, COMSATS Institute of Information Technology (CIIT), Islamabad 44000, Pakistan
*
†Email address for correspondence: waqasmas@gmail.com
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Abstract

We investigate the low-frequency (by comparison with the ion Larmor frequency) electrostatic solitary structures in a spatially non-uniform electron–positron–ion (e–p–i) magnetoplasma with non-Maxwellian electrons. A linear dispersion relation for the obliquely propagating ion acoustic drift wave is derived and it is shown that the non-Maxwellian electron population modifies the dispersion characteristics of the wave under consideration. We also carry out a nonlinear analysis and derive the modified Zakharov–Kuznetsov (MZK) equation for the coupled drift acoustic wave in a non-uniform magnetized plasma. We highlight the differences between the MZK equation and its homogeneous counterpart. We also find the solution of the MZK equation using the tangent hyperbolic method. It is observed that the electron spectral index ${\it\kappa}$ , positron concentration, and propagation angle ${\it\alpha}$ alter the structure of the ion acoustic drift solitary waves. The results obtained in this paper may be beneficial to understanding the propagation characteristics of electrostatic drift solitary structures in the interstellar medium and in laboratory experiments where electron–positron plasmas have recently been created by impinging ultra-intense laser pulses on a solid density target at the Lawrence Livermore National Laboratory (LLNL).

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 5 , October 2015 , 905810505
Copyright
© Cambridge University Press 2015 

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