A theoretical investigation of the propagation of a relativistic electron (or positron) particle beam in an overdense magnetoactive plasma is carried out within a fluid plasma model, taking into account the individual quantum properties of beam particles. It is demonstrated that the collective character of the particle beam manifests mostly through the self-consistent macroscopic plasma wakefield created by the charge and the current densities of the beam. The transverse dynamics of the beamplasma system is governed by the Schrdinger equation for a single-particle wavefunction derived under the Hartree mean field approximation, coupled with a Poisson-like equation for the wake potential. These two coupled equations are subsequently reduced to a nonlinear, non-local Schrdinger equation and solved in a strongly non-local regime. An approximate Glauber solution is found analytically in the form of a HermiteGauss ring soliton. Such non-stationary (breathing and wiggling) coherent structure may be parametrically unstable and the corresponding growth rates are estimated analytically.