Ion acoustic shock waves in weakly relativistic multicomponent quantum plasma

Ion acoustic Shock waves (IASWs) are studied in an collisionless unmagnetized relativistic quantum electron-positron-ion(e-p-i) plasma employing the quantum hydrodynamic(QHD) model. Korteweg-deVries-Burger equation(KdVB) is derived using small amplitude perturbation expansion method to study the nonlinear propagation of the quantum IASWs. It is found that the coefficients of the KdVB equation are significantely modified by the positron density p, relativistic factor(U-r), temperatures sigma, kinematic viscosity eta and quantum factor(H).