Quantum ion–acoustic shock waves in warm dissipative electron–positron–ion plasmas with relativistic ions

Abstract

Propagation of nonlinear quantum ion–acoustic shock waves in dense quantum plasma, whose constituents are electrons, positrons, and positive ions, is investigated using a quantum hydrodynamical model. Moreover, it is assumed that ion velocity is weakly relativistic. Also, we consider the effects of kinematic viscosity among the plasma constituents. By using reductive perturbation method, the Korteweg – de Vries – Burger equation is derived. The effects of relativistic ions, ion temperature, and the quantum Bohm potential on the shock waves are reported in this paper.