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Mode-locked lasers have been widely used to explore interactions between optical solitons, including bound-soliton states that may be regarded as "photonic molecules". Conventional mode-locked lasers can however host at most only a few solitons, which means that stochastic behaviour involving large numbers of solitons cannot easily be studied under controlled experimental conditions. Here we report the use of an optoacoustically mode-locked fibre laser to create hundreds of temporal traps or "reactors" within which multiple solitons can be isolated and controlled both globally and individually. We achieve on-demand synthesis and dissociation of soliton molecules within these parallel reactors, in this way unfolding a novel panorama of diverse dynamics in which the statistics of multi-soliton interactions can be studied. The results are of potential importance in all-optical information processing and in the control of ultrafast pulsed lasers.