Shock waves and the formation of solitary structures in electron acoustic wave in inner magnetosphere plasma with relativistically degenerate particles

The inner magnetosphere of Earth houses relativistically degenerate particles in which the formation of shocks and solitons occurs. In this paper we have considered plasma containing relativistically degenerate warm electrons and cold inertial electrons which give rise to electron acoustic solitary structure. We have also considered collisions which amount to dissipation actions and shocks. A KdV Burger equation has been derived by standard reductive perturbation technique and numerically analyzed by employing the celebrated Tan-hyperbolic method. The results are important in explaining the observed geo-magnetic storm in recent years.