Structure, stability and dynamics of multidimensional solitons in plasma

Abstract

The formation, structure, stability and dynamics of the multidimensional solitons forming on the low-frequency branch of oscillations in plasma are studied. To study the stability of multidimensional solitons in all cases the method of investigation of the Hamiltonian bounding with deformation conserving momentum by solving the variation problem is used. To study evolution of solitons and their collision dynamics the proper equations are integrated numerically using the codes specially developed. As a result, it was obtained that in both cases for single solitons on a level with wave spreading and collapse the formation of multidimensional solitons may be observed. These results may be also interpreted in terms of self-focusing phenomenon for the FMS and Alfvén waves' beam as stationary beam formation, scattering and self-focusing of beam. The soliton collisions on a level with known elastic interaction can lead to formation of complex structures including the multisoliton bound states. For all cases the problem of soliton dynamics including all stages of their evolution and collision dynamics is investigated in detail.