Eur. Phys. J. Special Topics 228, 2753–2768 (2019)
https://doi.org/10.1140/epjst/e2019-900047-4

Regular Article

Analytical solitary wave solution of the dust ion acoustic waves for the damped forced modified Korteweg-de Vries equation in q-nonextensive plasmas

¹ Department of Mathematics, Siksha Bhavana, Visva-Bharati, Santiniketan-731235, India
² Department of Mathematics, Cooch Behar Panchanan Barma University, Cooch Behar-736101, India

^a e-mail: prasantachatterjee1@rediffmail.com

Received: 2 March 2019
Received in final form: 25 May 2019
Published online: 6 December 2019

Abstract

Analytical solitary wave solution of the dust ion acoustic waves is studied due to the damped forced modified Korteweg-de Vries equation in an unmagnetized collisional dusty plasma consisting of negatively charged dust grain, positively charged ions, q-nonextensive electrons, and neutral particles in the presence of external periodic force. Using reductive perturbation technique, the damped forced modified Korteweg-de Vries equation is obtained for the dust ion acoustic waves. Momentum consevation law is used to obtain the dust ion acoustic solitary wave solutions in the framework of the damped forced modified Korteweg-de Vries equation. The effects of different physical parameters such as entropic index, dust ion collisional frequency, strength and frequency of the external periodic force, speed of the traveling wave and the parameter which is the ratio between the unperturbed densities of the dust ions and electrons are investigated on the analytical solution of the dust ion acoustic waves. It is observed that those parameters have significant effects on the structures of the damped forced dust ion acoustic solitary waves. The results of the present paper may have applications in laboratory and space plasma environments.