Cylindrical and Spherical Dust-Ion Acoustic Solitary Waves by Damped Korteweg-de Vries-Burgers Equation

Theoretical investigations are carried out for the cylindrical and spherical dust-ion acoustic solitary waves with the kinematic viscosity. By the reductive perturbation technique the damped KdV-Burgers equation is obtained, and an approximate analytical solution is given. Using this solution, the effects of different physical parameters on dust-ion acoustic solitary wave are discussed. The results may have applications in laboratory and space plasmas.