The Existence and Propagation of Electron Acoustic Shock Waves in Magnetized Plasma with Electron Beam

Abstract

The existence and propagation of small amplitude nonlinear electron acoustic shock waves by taking into account the effects of electron beam in magnetized plasma are investigated by employing reductive perturbation method. The nonlinear Korteweg–de Vries–Burgers (KdVB) equation has been derived by considering the basic fluid equations and dissipation effects. The nonlinear coefficient of KdVB equation comes out to be negative. Only dip-shaped potential structures are reported here. It is observed that the beam parameters play an important role in describing the behaviour of electron acoustic shock waves. An increase in beam density results in increase in the amplitude of electron acoustic (EA) shock waves. Moreover, the dependence of the solution on obliqueness, magnetic field and kinematic viscosity is also investigated. The numerical analysis is presented for the parameters corresponding to the observation of burst b event by the Viking satellite in the dayside auroral zone of the Earth’s magnetosphere.