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Planar geometry ion acoustic shock waves in electron-positron-ion quantum plasmas

Author:L.E.Akpabio

Abstract:
We have studied the formation of quantum ion acoustic shock waves (QIASWs) in a three component unmagnetized plasma, whose constituents are electrons, ions and immobile positrons. The effects of both the dissipation due to the plasma kinematic viscosities and the dispersion caused by the Bohm potential are taken into account. Employing reductive perturbation method, we have obtained the deformed Korteweg-deVries Burger (dKVB) equation for quantum ion acoustic shock wave in planar geometry. From our numerical analysis, we have studied the effect of the quantum parameter H and ion kinematic viscosities of the planar dKdVB on different values of the positron concentration P.