Dust ion acoustic shock waves in a collisionless dusty plasma

Abstract

The effects of nonadiabatic dust charge variation on nonlinear dust ion acoustic waves in collisionless dusty plasma have been studied. Nonadiabaticity generated dissipative effect is found to cause generation of dust ion acoustic shock wave governed by the Korteweg–de Vries (KdV) Burger equation. Numerical integration of KdV Burger equation shows that it has either oscillatory (dispersion dominant case) or quasi-monotone (dissipation dominant case) shock wave solutions.