The effect of phase-matched third-harmonic generation on the structure
and stability of spatial solitary waves is investigated. A power thre
shold for the existence of two-frequency spatial solitons is found, an
d the multistability of solitary waves in a Kerr medium owing to a hig
her-order nonlinear phase shift caused by cascaded third-order process
es is revealed. (C) 1997 Optical Society of America.