Dust acoustic shock waves in nonuniform dusty plasmas with kappa-distributed ions and electrons, nonadiabatic dust charge fluctuation and dust size distribution

The propagation characteristics of dust acoustic shock waves have been investigated in an unmagnetized nonuniform dusty plasma containing dust grains with nonadiabatic changed charges and different size, electrons and ions modeled by kappa distribution. The modified Korteweg–de Vries Burgers equation is derived by using the standard reductive perturbation technique. Numerical and theoretical analyses show that there are two different shock structures, that is, oscillatory shock structures and monotonous shock structures, in system. The results show that the dust size with power law distribution and kappa parameters have an important influence on dust acoustic shock waves.