Multidimensional dust-acoustic rogue waves in electron-depleted complex magnetoplasmas

Modulation instability (MI) and characteristics of dust-acoustic rogue waves (DARWs) are theoretically investigated in electron-depleted dusty magnetoplasmas comprised of massive dust grains of opposite polarities and nonextensive ions by considering a three-dimensional geometry. For this purpose, the (3 + 1)-dimensional nonlinear Schrodinger equation is derived using the derivative expansion method. Also, the criteria of the MI are derived and discussed in detail. Numerical analysis revealed that stable and unstable domains of the modulated waves are strongly sensitive to the magnetic field, ions nonextensivity, and some relevant dust grain characteristics (mass and density). It is worth to mention that the frequency range where the MI varies as in the one-dimensional (1D) case has been also identified. The obtained results are important to understand the DARWs in some plasma environments, including interstellar medium, Jupiter's magnetosphere, upper mesosphere, comets, Saturn's rings, and Earth's atmosphere.