Low frequency shock waves in two-fluid quantum plasma

An investigation is presented to study the propagation properties of low frequency ion-acoustic shocks in quantum plasma whose constituents are electrons (inertialess), positive ions and negatively charged dust grains both mobile. The Quantum hydrodynamic (QHD) model has been considered to investigate dust-ion acoustic shock structures in two-fluid quantum plasma. The reductive perturbation technique is employed to derive the Korteweg–de Vries–Burgers (KdV-B) equation whose solution has the form of shock structures and in the limiting case, solitons structures are observed. The combined effects of variation of different p hysical parameters on the characteristics of DIA shock and solitary structures are analyzed. The time evolution analysis of DIA shocks has also been carried out to see the occurrence of monotonic as well as oscillatory shocks in the given quantum plasma system. The results of present investigation may be useful in the understanding of fundamental plasma phenomenon in an astrophysical plasma environment.