Abstract
Linear and nonlinear properties of quantum dust acoustic waves are studied in a nonuniform, dissipative quantum plasma with sheared dust flow parallel to the ambient magnetic field, using the quantum hydrodynamic model. It is shown that the shear dust flow parallel to the external magnetic field can drive the quantum dust-acoustic wave unstable provided it has a negative slope. Stationary solutions of the nonlinear equations that govern the quantum dust-acoustic waves are also obtained. It is found that electrostatic monopolar, dipolar, and vortex street-type solutions can appear in such a plasma. It is observed that the inclusion of dust, quantum statistical, and Bohm potential terms significantly modify the scale lengths of these nonlinear structures. The relevance of the present investigation with regard to the dense astrophysical environments is also pointed out. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.2998831]