Arbitrary amplitude nonlinear waves in a four component quantum plasma

Based on the approach of arbitrary amplitude Sagdeev pseudo-potential, the fully nonlinear structures, such as soliton and double-layer waves, of a four-component quantum plasma system have been extensively investigated. The plasma system under consideration consists of inertial positive and negative dust species and inertialess quantum ions and electrons. For simplicity, the dust grains are considered to have a constant surface charge. For typical plasma parameters, like Mach number, temperatures ratio, densities ratios and quantum parameter, the bifurcation analysis enables us to distinguish three types of nonlinear waves, namely compressive soliton, rarefactive soliton and double layer depending on the magnitude of the configurational plasma parameters. The formations and the existence ranges of both solitons and double layers are studied and found to be highly sensitive to the values of the chosen plasma parameters and the quantum indices as well. The implications of the obtained results have a wide relevance in the study of space and laboratory quantum dusty plasmas where the positive and negative dust particulates are presented, and quantum effects are taken into account.