Effect of ion anisotropy pressure in viscous plasmas: Evolution of shock waves

Abstract

In this work, we have examined the propagation of nonlinear electrostatic shock waves in an anisotropically pressured magnetised plasma including positive and negative ions, trapped electrons, and positrons. Using a reductive perturbation technique, the trapped Zakharov-Kuznetsov Burger (TZK-B) equation is generated for nonlinear analysis. We study and debate the effects of positron and electron trapping on shock structure. Additionally, the influence of an external magnetic field and an anisotropic pressure on shock waves for both positive and negative ions is thoroughly discussed. It has been shown that the amplitude and magnitude of the shock wave are affected by changes in the bulk viscosity and kinematics viscosity for both ions.