Three-dimensional electrostatic rogue waves in complex magneto-plasmas

This book is mainly about theoretical plasma physics. The goal of this book is to discuss the nonlinear wave phenomenon in magneto-plasma systems. The propagation of nonlinear electrostatic perturbations (viz. dust ion-acoustic waves (DIAWs) where the inertia is provided by the ions and the restoring force is provided by the hybrid nonthermal-nonextensive distributed electrons dust-acoustic waves (DAWs) in which the massive negatively charged dust grains give the inertia and the restoring force comes from the super-thermal k-distributed electrons and positrons and Maxwellian ions) have been investigated theoretically and numerically in a three-dimensional complex magneto-plasma system. The reductive perturbation method which valid for small but finite amplitude of DIAWs and DAWs is employed to derive the (3+1)-dimensional nonlinear Schrödinger equation (NLSE). The NLSE leads to the modulational instability of DIAWs and DAWs as well as the formation of dust ion-acoustic rogue waves (DIARWs) and dust-acoustic rogue waves (DARWs) which are formed due to the effects of nonlinearity in the propagation of the DAWs/DIAWs.