  We apply the Green's function method to determine the global degree of
squeezing and the transverse spatial distribution of quantum fluctuations of
solitons in Kerr media. We show that both scalar bright solitons and multimode
vector solitons experience strong squeezing on the optimal quadrature. For
vector solitons, this squeezing is shown to result from an almost perfect
anti-correlation between the fluctuations on the two incoherently-coupled
circular polarisations.
