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Theoretical Physics
TP > Volume 4, Number 2, June 2019

Dust-ion-acoustic Solitary Waves and Their Instability in a Magnetized Adiabatic Dusty Electronegative Plasma

Download PDF  (985.3 KB)PP. 47-56,  Pub. Date:March 28, 2019
DOI: 10.22606/tp.2019.42001

Author(s)
O. Rahman and M. M. Haider
Affiliation(s)
Department of Physics, Mawlana Bhashani Science and Technology University, Santosh, Tangail, Bangladesh
Abstract
The basic features of a nonlinear obliquely propagating dust-ion-acoustic (DIA) solitary waves (SWs) in a magnetized adiabatic dusty electronegative plasma (MADENP) containing Maxwellian electrons, vortex-like (trapped) negative ions, positively charged stationary dust, and adiabatic mobile inertial positive ions have been theoretically investigated. The well known modified Zakharov Kuznetsov (mZK) is derived by using the reductive perturbation technique. The dependence of solitary wave structures on positive ion adiabaticity, external magnetic field (obliqueness), trapped negative ions, and positively charged stationary dust are studied explicitly. The three-dimensional instability of this DIASWs is also analyzed using small-k perturbation expansion technique. It is found that the nature of DIASW, the instability criterion and the growth rate of unstable perturbations are significantly modified by the external magnetic field, the propagation directions of both the nonlinear waves and their perturbation modes.
Keywords
Dust-ion-acoustic solitary waves, adiabatic dusty plasma, trapped negative ions.
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