Head-on collision of dust acoustic shock waves in quantum plasma

An investigation is presented to study head-on collision of two dust acoustic (DA) shock waves in quantum dusty plasma comprising negative dust, electrons, and ions. Using an extended Poincare-Lighthill-Kuo perturbation method, two Kortweg-de Vries-Burgers equations for shock waves are derived in this plasma. The analytical phase shifts of DA shock waves after collision has been deduced. The effect of various physical parameters such as quantum diffraction, quantum statistics, kinematic viscosity, and temperature ratio on the characteristics of DA shock waves is explored. This study may be of relevance in astrophysical plasmas such as neutron stars and white dwarfs.