Study of propagation of nonlinear shock waves in a multicomponent beam plasma

The various satellite observations have witnessed the existence of multicomponent plasmas in space and astrophysical environments where ions and two temperature electrons are present. The dynamics of electron acoustic waves (EAWs), which is a fundamental electrostatic wave mode has gained much attention over the last many years due to their confirmation by the satellite observations in the auroral and other regions of the magnetosphere. In this investigation, we have studied the evolution of electron acoustic shock waves in a four component unmagnetized collisionless plasma consisting of cold electrons fluid, inertialess hot electrons and stationary positive ions embedded with an electron beam. Using the reductive perturbation method, the Burgers equation is derived. Tanh-method is employed to derive its solution to study the electron acoustic shock wave 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 EA shocks. The combined effects of electron beam and other plasma parameters on the characteristics of different kinds of electron 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 electron acoustic shocks in space as well as astrophysical plasma environments especially in Earth’s magnetospheres.