Abstract
Soliton formation in an electron beam propagating in a plasma-filled cylindrical waveguide has been investigated. Neglecting the ion dynamics, the nonlinear dispersion relation for the soliton is derived. Analysis of this dispersion relation with appropriate existence condition shows that there is a critical beam velocity above which two soliton branches appear. The effect of the velocity and density of the beam on the existence and amplitude of the soliton are investigated in detail.
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