We demonstrate that, in contrast with what was previously believed, multihu
mp solitary waves can be stable. By means of linear stability analysis and
numerical simulations, we investigate the stability of two- and three-hump
solitary waves governed by incoherent beam interaction in a saturable mediu
m, providing a theoretical background for the stability of the experimental
results reported by Mitchell, Segev, and Christodoulides [Phys. Rev. Lett.
80, 4657 (1998)].