Nonlinear features of ion acoustic shock waves in dissipative magnetized dusty plasma
Abstract
The nonlinear propagation of small as well as arbitrary amplitude shocks is investigated in a magnetized dusty plasma consisting of inertialess Boltzmann distributed electrons, inertial viscous cold ions, and stationary dust grains without dustcharge fluctuations. The effects of dissipation due to viscosity of ions and external magnetic field, on the properties of ion acoustic shock structure, are investigated. It is found that for small amplitude waves, the Kortewegde VriesBurgers (KdVB) equation, derived using Reductive Perturbation Method, gives a qualitative behaviour of the transition from oscillatory wave to shock structure. The exact numerical solution for arbitrary amplitude wave differs somehow in the details from the results obtained from KdVB equation. However, the qualitative nature of the two solutions is similar in the sense that a gradual transition from KdV oscillation to shock structure is observed with the increase of the dissipative parameter.
 Publication:

Physics of Plasmas
 Pub Date:
 October 2014
 DOI:
 10.1063/1.4896710
 Bibcode:
 2014PhPl...21j3701S