Quantum ion acoustic shock waves in planar and nonplanar geometry

Abstract

The effects of unbounded planar geometry and bounded nonplanar geometry on quantum ion acoustic shock waves (QIASWs) in unmagnetized plasmas, where plasma kinematic viscosities are taken into account, are investigated. By the reductive perturbation method, deformed Korteweg–de Vries Burger (dKdVB), cylindrical, and spherical dKdVB equations are obtained for quantum ion acoustic shock waves in an unmagnetized two-species quantum plasma system, comprising electrons and ions. The properties of quantum ion acoustic shock waves are studied taking into account the quantum-mechanical effects in planar and nonplanar geometry. It is shown that quantum ion acoustic shock waves in nonplanar geometry differ from planar geometry. We have studied the change of QIASW structure due to the effect of the geometry, quantum parameter H, and ion kinematic viscosities by numerical calculations of the planar dKdVB, cylindrical, and spherical dKdVB equations.