Abstract
In the present work, the propagation of (non)linear electrostatic waves is reported in a normal (electron–ion) magnetoplasma. The inertialess electrons follow a non-extensive q-distribution, while the positive inertial ions are assumed to be warm mobile. In the linear regime, the dispersion relation for both the fast and slow modes is derived, whose properties are analyzed parametrically, focusing on the effect of nonextensive parameter, component of parallel anisotropic ion pressure, component of perpendicular anisotropic ion pressure, and magnetic field strength. The reductive perturbation technique is employed for reducing the fluid equation of the present plasma model to a Zakharov–Kuznetsov (ZK) equation. The parametric role of physical parameters on the characteristics of the symmetry planar structures such solitary waves is investigated. Furthermore, the stability of the pulse soliton solution of the ZK equation against the oblique perturbations is investigated. Furthermore, the dependence of the instability growth rate on the related physical parameters is examined. The present investigation could be useful in space and astrophysical plasma systems.
Highlights
Ion-acoustic waves (IAWs) play an essential part in studying the linear and nonlinear aspects among several astrophysical plasmas
In 1933, it was observed that the IAWs posses the electrical oscillations within an electrical discharges through gases by Revans [2]
A large number of researchers have studied the dynamics of the IAWs experimentally and theoretically in the last few decades [3,4,5,6,7,8,9,10]
Summary
Ion-acoustic waves (IAWs) play an essential part in studying the linear and nonlinear aspects among several astrophysical plasmas. Washimi and Taniuti [11], for the first time, used the RPT for studying the characteristics of the weakly nonlinear ion-acoustic solitons (IASs) in an electron-ion (e − i) plasma. Cairns et al [26] carried out a study on the effect of ion temperature, external static magnetic field, and oblique propagation on the structure of these solitary waves. Mamun and Cairns considered the same problem for cold ions [27] They were able to show the existence of compressive and rarefactive solitary waves as well as the investigation of their stabilities. The main objective of this paper is to investigate the impact of the non-Maxwellian (say nonextensive distributed) electrons on the characteristics of IASWs in a magnetized anisotropic plasma. The stability of the ZK solitary wave solution will be investigated
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