Abstract
The modulation of weakly three-dimensional (3D) dust-ion acoustic waves (DIAW) in a magnetized dusty plasma is studied. By using the standard reductive perturbation method, a three-dimensional nonlinear Schödinger equation (3D NLSE) in magnetized dusty plasma is obtained. The modulational instability of weakly 3D DIAW described by the 3D NLSE is investigated. Some new and important explicit criteria are obtained. It is shown that the modulation properties of weakly 3D DIAWs in magnetized and unmagnetized dusty plasmas are very different.
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