Effect of ion anisotropy pressure in viscous plasmas: evolution of shock wave

In this work, we have studied the propagation of nonlinear electrostatic shock waves in an anisotropically pressured magnetized plasma containing positive and negative ions, trapped electrons, and positrons. A reductive perturbation technique is used to generate the trapped Zakharov-Kuznetsov Burgers’ equation is generated for nonlinear analysis. We study and debate the effects of positron and electron trapping on shock structures. In addition, the influence of an external magnetic field and an anisotropic pressure on the shock waves for both positive and negative ions is thoroughly discussed. It is shown that the amplitude and magnitude of the shock wave are affected by changes in the bulk viscosity and kinematic viscosity for both ions. The paper examines the unique characteristics of rarefactive shock-like formations under various plasma conditions, including ion bulk and kinematic viscosities, electrons and positron trapping with the influence of magnetic fields. This result of this study will provide a better understanding of the nonlinear transmission of ion acoustic shock waves in astrophysical environments, such as neutron stars and pulsar magnetospheres.