Abstract

The nonlinear positron acoustic shock waves (PASWs) in an unmagnetized plasma consisting of cold positrons, immobile positive ions and Boltzmann-distributed electrons and hot positrons are studied in both unbounded planar geometry and bounded nonplanar geometry. In this regard, with the help of the reductive perturbation method, the cylindrical and spherical Korteweg–de Vries Burger (KdVB) equations are derived for PASWs. Numerically, the effects of several parameters and ion kinematic viscosities on the properties of PASWs in both planar and nonplanar geometry are discussed. It is found that PASWs in nonplanar geometry significantly differ from those in planar geometry.

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