  The center of mass of a bright soliton in a Bose-Einstein condensate may
reveal Anderson localization in the presence of a weak disorder potential. We
analyze the effects of interactions between two bright solitons on the Anderson
localization phenomenon. Perturbation calculus shows that even very weak
interactions modify localization properties of the system eigenstates. For
stronger interactions, i.e. when the solitons are close to each other, the
localization is totally broken. It implies that in order to experimentally
observe the Anderson localization effects, a single bright soliton has to be
prepared and excitation of soliton trains must be avoided.
