Three dimensional nonlinear shock waves in inhomogeneous plasmas with different size dust grains and external magnetized field

The evolution of three dimensional nonlinear shock waves is investigated in a dusty plasma with inhomogeneous particles? density, nonadiabatic dust charge variation, external magnetized field and power law dust size distribution. For this purpose, a modified nonlinear Korteweg-de Vries Burgers equation containing variable coefficients is obtained by reductive perturbation method. The effects of inhomogeneity, dust size distribution, external magnetized field, dust charge variation and obliqueness parameter on shock structures are numerically examined in great detail. Furthermore, research results show that oscillatory shock waves and monotone shock waves exist and transform each other in this system.