Dynamics and Stability of Multidimensional Solitons in a Plasma

The formation, structure, stability and dynamics of multidimensional nonlinear waves in a plasma with β ≡ 4πnT / B2 << 1 and β > 1 are studied. The problem of soliton evolution and collision dynamics is investigated. To study the stability of multidimensional solitons, the variation problem of the Hamiltonian bounding with respect to deformations conserving momentum is used. To study evolution of solitons and their collision dynamics the equations are integrated numerically. It was obtained that in both cases the formation of multidimensional solitons can be observed. These results may be also interpreted in terms of self-focusing phenomenon for the wave beam as a stationary beam formation, scattering and self-focusing. It is found that the soliton elastic collisions can lead to formation of complex structures including the multisoliton bound states