Yakimenko A. Nonlinear coherent effects caused by intense electromagnetic waves in magnetized plasmas

Thesis is devoted to the investigation of the processes connected with propagation of the intense waves in magnetized plasmas. The most important parametric decay instabilities of the whistler wave in space and ionosphere plasmas have been explored, when obliquely propagating pump whistler wave decays into whistler and ion-sound wave or into whistler and alfven wave. The possibility of the formation and evolution of the two-dimensional envelope solitons and vortex solitons in non-equilibrium plasmas in the framework of the model, based on the generalized nonlinear Schrodinger equation, have been investigated. The general properties of the two-dimensional self-induced waveguides of the soliton and vortex type are considered taking into account the fourth-order dispersive effects as well as competing local and nonlocal nonlinearities. Soliton and vortex stability is investigated by linear stability analysis and by direct numerical simulations. The existence of stable two-dimensional solitons and vorticesin the magnetized plasmas is predicted. The obtained in the thesis theoretical results are found to be in qualitative agreement with the experimenal data for the whistler structures in the laboratory plasmas and in the ionosphere.