Description:
<jats:p>We investigate the nonlinear characteristics of space-charge waves, which propagate along a relativistic electron beam drifting near the surface of a semi-infinite Kerr-like medium, under the condition that the drift velocity of the electron beam does not exceed the Cherenkov threshold. On the basis of the linear fluid model for the electron beam and the stationary wave analysis, we obtain some interesting features for the nonlinear space-charge waves such as power dependence of wave numbers and hysteresis characteristics.</jats:p>