Cylindrical and Spherical Ion-Acoustic Shock Waves in Nonextensive Electron-Positron–Ion Plasma

Abstract

The properties of cylindrical and spherical ion-acoustic shock waves in an unmagnetized plasma system consisting of inertial ions, nonextensive electrons, and nonextensive positrons are investigated. A modified Burgers equation is derived using the reductive perturbation technique and its numerical solution is obtained. It is found that the properties of the cylindrical and spherical ion-acoustic shock waves significantly differ from those of 1-D planar shock waves. The findings of this investigation may be used in understanding the wave propagation in laboratory and space plasmas.