Analytical solitary wave solution of dust ion acoustic waves in nonextensive plasma in the framework of damped forced Korteweg–de Vries–Burgers equation

Abstract

Dust ion acoustic waves (DIAWs) are investigated analytically in the framework of damped forced Korteweg–de Vries–Burgers (DFKdVB) equation in an unmagnetized collisional dusty plasma consisting of negatively charged stationary dust grains, positively charged ions and q-nonextensive distributed electrons. Reductive perturbation technique is used to obtain the DFKdVB equation for DIAWs. The effects of different physical parameters such as the entropic index (q), ratio of unperturbed number densities of electrons and ions $$(\mu )$$ , dust ion collision frequency $$(\nu _{\mathrm{id}0})$$ , kinematic viscosity ( $$\eta _0$$ ), the speed of the traveling wave $$(M_0)$$ , strength $$(f_0)$$ and frequency $$(\omega )$$ of the external periodic force on the analytical DIAWs are shown. The results of the present paper will be useful in laboratory and space plasmas.