  The formation of the gigantic dust-acoustic rouge waves (DARWs) in an
electron depleted unmagnetized opposite polarity dusty plasma system is
theoretically observed for the first time. The nonlinear Schr\"{o}dinger
equation (derived by utilizing the reductive perturbation method) has been
analytically as well as numerically analyzed to identify the basic features
(viz., height, thickness, and modulational instability, etc.) of DARWs. The
results obtained form this investigation should be useful in understanding the
basic properties of these rouge waves which can predict to be formed in
electron depleted unmagnetized opposite polarity dusty plasma systems like
mesosphere, F-rings of Saturn, and cometary atmosphere, etc.
