Effect of Dust Ion Collision on Dust Ion Acoustic Solitary Waves for Nonextensive Plasmas in the Framework of Damped Korteweg–de Vries–Burgers Equation

Abstract

Abstract Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the framework of the damped Korteweg–de Vries–Burgers (DKdVB) equation in an unmagnetised collisional dusty plasma consisting of negatively charged dust grain, positively charged ions, q -nonextensive electrons, and neutral particles. Using Reductive Perturbation Technique, the DKdVB equation is obtained for DIAWs. The effects of different physical parameters such as dust ion collision frequency parameter ( <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:msub> <m:mi>ν</m:mi> <m:mrow> <m:mi>i</m:mi> <m:mi>d</m:mi> <m:mn>0</m:mn> </m:mrow> </m:msub> </m:math> \({\nu_{id0}}\) ), viscosity coefficient ( η 10 ), the entropic index ( q ), the speed of the travelling wave ( M 0 ), and the ratio between the unperturbed densities of the electrons and ions ( μ ) on the analytical solution of DIAWs are observed. The results of the present article may have applications in laboratory and space plasmas.