Abstract
It is well known that sheared plasma flows can be built up both in astrophysical environments as well as in laboratory dusty plasmas. Our objective here is to understand the coupling of velocity gradient energy to electrostatic and electromagnetic waves in nonuniform dusty magnetoplasma. For this purpose, we employ the multi-fluid dusty plasma model and derive the relevant nonlinear equations for low-frequency (in comparison with the ion gyrofrequency) waves in the presence of sheared plasma hows. Linear dispersion relations are derived and analyzed. It is found that both the electrostatic and electromagnetic waves are driven by sheared plasma flows. Furthermore, the newly derived mode coupling equations provide the possibility of self-organized and chaotic states in dusty plasmas. The results of our investigation should be helpful in understanding the properties of dusty plasma microturbulence when sources and sinks are simultaneously present.