We use numerical simulations to study interaction of co- andcounter-propagating pulses in disordered multilayers with noninstantaneous Kerrnonlinearity. We propose a statistical argument for existence of thedisorder-induced trapping which implies the dramatic rise of the probability ofrealization with low output energy in the structure with a certain level ofdisorder. This effect is much more pronounced in the case of two interactingpulses than in the single-pulse regime and does not occur in the strictlyordered system at the same intensity of the pulses. Therefore it cannot beexplained simply as a result of increase in strength of nonlinear light-matterinteraction.
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