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

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 (${\nu }_{dn}$). The damped Zakharov and Kuznetsov (ZK) equation is obtained employing the reductive perturbation technique. The effects of dust-neutral collisional frequency (${\nu }_0$) 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 $q_i$, $q_e$ and ${\nu }_0$ 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.

Keywords:

• Dust-acoustic wave
• solitary wave
• dust-neutral collision
• dusty plasma
• quasiperiodicity
• chaos

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

First author Jharna Tamang is thankful to Sikkim Manipal Institute of Technology for providing junior research fellowship sponsored by Dr. Ramdas Pai and Mrs. Vasanthi Pai endowment fund with sanctioned letter no. 1018/SMIT/HR/Appt/JRF/Maths/2018-04.