On the effect of Landau damping in a relativistic electron acoustic plasma

Abstract

We have considered the effect of damping generated due to streaming electrons in a relativistic electron plasma. It is observed that due to the relativistic effect the amplitude of the soliton gets smaller and it becomes more widened. But for a high-temperature electron plasma, the effect is not considerable. The KdV equation with the damping term is solved via the Bogoliubov-Krylov perturbation theory, whence the amplitude and width of the soliton are expressed in terms of the parameters of the plasma. Lastly we discuss how higher order effects can be incorporated.