Effects of nonadiabatic dust charge variation on cylindrical/spherical shock waves propagating in a hybrid Cairns–Tsallis plasma

Abstract

A dusty plasma, composed of charge-fluctuating dust, and hybrid Cairns–Tsallis ions and Boltzmann electrons is considered to study the cylindrical/spherical dust acoustic shock waves. The reductive perturbation method is used to derive the cylindrical/spherical KdV–Burgers equation. It is important to note here that the main cause of dissipation term in the given plasma model is dust charge fluctuation. Nonplanar KdV–Burgers equation is later on solved by the weighted residual method in the limits of weak dissipation. The solution demonstrates that the wave attenuates quicker as one approaches the cylinder’s axis or the sphere’s center, and the consequences are depicted in various 2D graphics. We have studied the various parametric influences on such shock structure and also showed how the gradual variations of these parameters affect the generation and structure of the shocks in their respective domain. Much of the experiments on dusty plasma with nonadiabatic dust charge fluctuation will benefit from the parametric study.