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

2015/09/04 by N. Akhtar, W. F. El-Taibany, S. Mahmood +4
Physics and Astronomy · Earth and Planetary Sciences · #Dust and Plasma Wave Phenomena #Ionosphere and magnetosphere dynamics #Earthquake Detection and Analysis

paper · doi:10.1017/s0022377815001038

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 \itσ 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.

Citations

• The Probable Error of a Mean

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