By means of three-dimensional simulations, the paraxial propagation of a la
ser beam in a nonlinear plasma modeled by ion-acoustic waves is examined. T
he beam speckles are smoothed by a one-dimensional transverse spectral disp
ersion technique. In the case of weak smoothing and when the incident speck
le velocity is subsonic, the propagation in the plasma is found to exhibit
an asymptotic speckle velocity and to enhance filamentation. With contrary
conditions, it is found to reduce simply the speckle velocity. (C) 2001 Ame
rican Institute of Physics.