Modulation Instability and Dust-Ion-Acoustic Rogue Waves in Electron-Positron-Ion-Dust Magnetized Plasmas

A realistic multicomponent collisionless complex magnetized dusty plasma system consisting of warm ions, κ-distributed positrons and electrons, and immobile dust grains is considered to study the modulational instability (MI) (stable/unstable frequency regimes) of dust-ion-acoustic waves (DIAWs). By employing the reductive perturbation method, a 3-D nonlinear Schrödinger equation (NLSE), which leads to the MI of DIAWs, is derived. Furthermore, the NLSE gives a special type of 3-D rogue wave (RW) solution. It is observed that the spectral index κ plays a crucial role on the behavior of DIAWs. The basic properties like amplitude and width of the firstand second-order dust-ion-acoustic RWs are affected by the key complex magneto-plasma configuration parameters, such as spectral index κ, temperature ratio, number densities of magneto-plasma species, and ion cyclotron frequency (ω ci ). The implication of our results for space and laboratory plasmas is briefly discussed.