Cylindrical and spherical dust–ion acoustic shock waves

Abstract

The effect of the bounded nonplanar geometry on dust–ion acoustic shock wave (DIASW) in unmagnetized dusty plasmas is investigated for the first time. By using the standard reductive perturbation method, a cylindrical/spherical Korteweg–de Vries–Burgers (KdV–Burgers) equation is obtained. The change of the DIASW structure due to the effect of the geometry, dust density, and ion temperature is studied by numerical calculation of the cylindrical/spherical KdV–Burgers equation.