Ion acoustic shock waves in dissipative electron-positron-ion plasmas with weak transverse perturbations

Ion acoustic shock waves (IASWs) are studied in an unmagnetized plasma consisting of electrons, positrons and adiabatically hot positive ions. This is done by deriving the Kadomstev-Petviashvilli-Burger (KPB) equation under the small-amplitude perturbation expansion method. The dissipation is introduced by taking into account the kinematic viscosity among the plasma constituents. The dependence of the IASWs on various plasma parameters is explored in detail. It is observed that an increasing positron concentration decreases the amplitude of the IASW. Furthermore, it is found that an increasing η0 not only enhances the amplitude appreciably but also modifies the steepness of the shock front. Limiting cases of the KPB equation are also discussed. It is found that the amplitude of the KP soliton decreases with an increase in positron concentration. An interesting new equation in the limiting case (i.e. the Burger-KP equation) is given and its comparison with the KPB equation is also presented. The relevance of the present study with regard to the dense astrophysical environments is also pointed out.