Abstract
A nonlinear equation is derived and its analytic solution describing a soliton-like perturbation propagating at velocity close to the speed of light is found. It is shown that the rate at which the amplitude of a soliton excited by a cold electron beam in a magnetized plasma-filled waveguide grows is proportional to (nb/n0)1/3, as is the linear growth rate of the beam-plasma instability.
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