Shocks, explosions, and vortices in two-dimensional homogeneous quantum magnetoplasma

Using the quantum hydrodynamic model for a uniform quantum magnetoplasma, and considering that the collision between ions and neutrals is dominant, a two-dimensional nonlinear system is derived. The linear dispersion relation is obtained and thus the variations of the dispersion relation with the obliqueness angle and density are discussed in detail. Shock, explosion, and vortex solutions of the nonlinear system are obtained. It is found that increasing the plasma density may enhance the strength of the shock and the width of the explosion. However, the higher the collision frequency is, the weaker the shock and the narrower the explosion will be. The temporal and spatial distributions for the vortex potential are studied. Spatially, it forms a periodic vortex street. Temporally, the vortex street may evolve in various ways owing to the arbitrary function of time.