Nonlinear Ion Acoustic Shock Waves in an electron-positron-ion plasma with relativistic positron beam

Many satellite observes different kinds of charged particles in space and astrophysical environments that influence the characteristics of nonlinear structures in the framework of Maxwellian/non-Maxwellian velocity distribution.  Owing to the occurrence of electron-positron–ion (EPI) in different space plasma environments, it is the frontline area of research for the last many years.  The nonlinear aspects of ion-acoustic shock waves (IAShWs) dynamics in electron-ion or generally pair plasma has been extensively studied as a result of their vital importance in astrophysical sciences mainly ionospheric region. A dissipative system is the main reason for the formation of shock waves. The study of the nonlinear wave propagation in EPI plasmas is useful in understanding the dynamical behavior of astrophysical plasmas. In the ionospheric plasma system, there is always a possibility of its interaction with highly intense charged particles beam coming from outer space. It is seen that the nonlinear waves in the plasmas having positrons behave differently. Moreover, the behavior of IAShWs propagating in a relativistic EPI plasma model is strongly dependent on the ions and positrons temperatures, the mass ratio, and the relativistic effects. Higher-order corrections results in humped IAShWs and the kinematic viscosity, as well as the concentration of ion number density, play a pivotal role to understand the basic features of the produced IAShWs and the associated electric fields. Our findings may herald a model of EPI plasma to know the various effects of relativistic positron beam on plasma dynamics.