Abstract

The nonlinear propagation characteristics of shock waves in a non-planar (cylindrical and spherical) two-ion-temperature unmagnetized dusty plasma, whose constituents are inertial negative dust, Boltzmann electrons and ions with two distinct temperatures, are investigated by deriving the modified Burgers (mB) equation. The standard reductive perturbation method is employed to derive the mB equation. The basic features of non-planar dust-acoustic (DA) shock waves (viz. amplitude, width, profile structure) are analyzed. It has been found that the propagation characteristics of non-planar DA shock waves significantly differ from those of planar ones.

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