Higher order corrections and temperature effects to ion acoustic shock waves in quantum degenerate electron-ion plasma

The contribution of higher-order nonlinearity and dissipation to nonlinear ion acoustic shock waves (IASWs) is investigated by using the reductive perturbation technique in dense electron-ion plasma. The model consists of degenerate electrons (being either ultrarelativistic or nonrelativistic) and nonrelativistic ion fluid. A nonlinear Burger equation and a linear inhomogeneous Burger-type equation are derived. The inclusion of the higher-order corrections results in creating new shock wave structures, humped IASWs. It is found that the kinematic viscosity and the equilibrium ion number density play important roles in the basic features of the produced IA shocks and the associated electric fields. These findings are devoted to explaining the observed waves propagating in the outer periphery of compact dense stars which mostly consists of hydrogen and degenerate electrons.