Ion acoustic shocks with contribution of higher order effects in a superthermal beam-plasma

This investigation presents the study of ion acoustic (IA) shocks in a plasma comprising warm inertial ions, and superthermal hot electrons penetrated by an electron beam. Using the reductive perturbation method, the Burgers equation is derived. Tanh-method is employed to derive its solution to study the ion acoustic shock structures. Further, by considering the contribution of higher order effects, the inhomogeneous Burgers-type equation is derived and its solution results in the formation of humped-type IA shocks. The combined effects of electron beam and other plasma parameters on the characteristics of different kinds of ion acoustic shock structures are analysed. The findings of this investigation may be useful to understand insight of physics of nonlinear phenomena for studying dynamics of ion acoustic shocks in space as well as astrophysical plasma environments where superthermal electrons and electron beam are present.