Multidimensional nonlinear dust acoustic shock waves in nonuniform magnetized dusty plasmas with nonadiabatic dust charge fluctuation

The propagation of multidimensional nonlinear dust acoustic shock waves in inhomogeneous dusty plasmas due to spatial gradients of dust charge and plasma densities is investigated. A modified variable coefficients Korteweg-de Vries Burgers equation is derived with the nonadiabatic dust charge fluctuation, the nonthermally distributed ions, dust-neutral collision, and the external magnetic field. The numerical results show that the inhomogeneity, the nonthermal ions and the nonadiabatic dust charge fluctuation have strong influence on the nonlinear properties of dust acoustic shock waves. (C) 2008 American Institute of Physics.