  The modulational instability of dust-acoustic (DA) waves (DAWs), and
corresponding DA rogue waves (DARWs) in a realistic space dusty plasma system
(containing inertial warm positively and negatively charged dust, isothermal
ions, and nonthermal kappa distributed electrons) has been theoretically
investigated. The nonlinear Schr\"{o}dinger (NLS) equation is derived by using
reductive perturbation method for this investigation. It is observed that the
dusty plasma system under consideration supports two modes, namely fast and
slow modes, and that both of these two modes can be stable or unstable
depending the sign of ratio of the dispersive and nonlinear coefficients. The
numerical analysis have shown that the basic features (viz.
stability/instabilit, growth rate, amplitude, etc.) of the DAWs associated with
the fast mode are significantly modified by superthermal parameter ($\kappa$)
and other various plasma parameters. The results of our present investigation
should be useful for understanding DARWs in space plasma systems, viz.
mesosphere and ionospehre.

Plasma Physics