Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma

Abstract

The equations of the model of two fluids of a two component collision-free, isotropic and fully ionized plasma in thermal equilibrium consisting of singly-ionized ions and electrons in a uniform magnetic field with heated ions and electrons are treated. We focus our attention on determining the global hydromagnetic fast magnetosonic traveling solitonic waves for plane wave equations. Ordinary solitary waves, bifurcating from the zero wave number, exist for the angles of inclination θ of the magnetic field vector to the direction x of the wave propagation, located in some left neighborhood of π/2. A global family of solitary waves containing solitary waves of all possible amplitudes is numerically determined. The dynamic stability of these solitary waves is investigated by numerical methods: the problem of the evolution of solitary waves via the time dependent field equations of the quasi-neutral collision-free finite beta-plasma is analyzed. We also concern the domains in parameter space where traveling generalized and envelope solitary waves exist and compute the possible forms of these waves and of so-called multi-soliton waves with several humps. The evolution of a localized perturbation is also treated numerically.