Influence of dust-neutral collisional frequency and nonextensivity on dynamic motion of dust-acoustic waves

Abstract

ABSTRACT Influence of dust-neutral collisional frequency and nonextensivity on the linear and nonlinear dust-acoustic waves is studied in a magnetized collisional dusty plasma, which consists of negatively charged cold dust particles, q-nonextensive hot ions and hot electrons with stationary neutrals considering the dust-neutral collisions. It is observed through linear mode analysis that linear dust-acoustic wave behaves like a damping wave and its damping rate mainly depends on dust-neutral collisional frequency (). The damped Zakharov and Kuznetsov (ZK) equation is obtained employing the reductive perturbation technique. The effects of dust-neutral collisional frequency () and nonextensive parameter (q) are observed on the characteristic features of dust-acoustic solitary waves. Control of dynamic motions for dust-acoustic waves is investigated considering three-dimensional phase portraits, time-series analysis and sensitivity analysis. The parameters , and play vital roles on the control of dynamic motions for dust-acoustic waves in presence of the external periodic force. Our study may be helpful to understand the behavior of dust-acoustic wave in the magnetosphere.