الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
Propagation of dust acoustic waves (DAWs) under the effect of power law dust size distribution (DSD) in a magnetized dusty plasma with opposite polarity dusts is studied. Using the reductive perturbation technique (RPT), a Zakharov-Kuznetsov (ZK) equation appropriate for describing three-dimensional DAWs is derived. The compressive and rarefactive solitons are possible in the present model. Due to the DSD effect, soliton with smaller amplitude and width and larger velocity is observed. The stability criterion for obliquely propagating DAWs in such plasma using small-k expansion method is investigated. The growth rate of instability is derived and analyzed. It is found that the growth rate of instability is strongly affected by the power law DSD.
Moreover, the propagation and interaction of two ion-acoustic (IA) solitary waves in a magnetized dusty electronegative plasma consisting of cold mobile positive ions, Boltzmannian negative ions, Boltzmannian electrons and stationary positive/ negative dust particles are studied. The extended Poincaré–Lighthill-Kuo (PLK) perturbation method is employed to derive the Korteweg–de Vries (KdV) equations and the expressions for the phase shifts after interaction between two IA solitary waves. It is found that the angle of interaction, the temperature and density of negative ions, and the dust density of opposite polarity have effects the phase shift.
The relevance of these findings to space plasma phenomena (e.g. Jupiter’s magnetosphere, cometary tails, and both D- and F- regions of the Earth’s ionosphere) and laboratory plasma experiments (e.g. low-pressure discharge plasma, plasma ignition, dc multidipole chamber) is briefly discussed.