We present a theoretical analysis of the stability of screening-photovoltai
c (SP) spatial solitons in biased photovoltaic-photorefractive materials in
the case of neglecting the loss of the material and the effect of diffusio
n. When an incident optical beam is a SP soliton, this beam propagates alon
g a linear path with its shape kept unchanged. When the maximum amplitude,
width and functional form of an incident optical beam are slightly differen
t from those of a SP soliton, the beam reshapes itself and tries to evolve
into a solitary wave after a short distance. That is, these SP solitons are
stable against small perturbations. However, optical beams that significan
tly differ from SP soliton solutions tend to experience larger cycles of co
mpression and expansion, and their maximum amplitudes oscillate with propag
ation distances. The larger the perturbations, the stronger the oscillation
.