Abstract
A nonlinear equation for a resonant Alfven disturbance in a finite-pressure plasma is derived and matching conditions for a fast magnetosonic wave are obtained. The evolution of the resonant disturbance and the rate of resonant energy absorption are calculated for two cases: when the source is switched-on exponentially and instantaneously. It is shown that the evolution to a nonlinear regime is accompanied by the stratification of the resonant disturbance and the average plasma parameters at a progressively decreasing spatial scale. Essential properties of the nonlinear resonant disturbance are the nonlinear saturation of its amplitude, the displacement of the resonance layer, and the disappearance of resonant energy absorption.
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