Only a large increase in voltage, to 48 volts for example, and maybe a new controller will change that speed appreciably.
As your batteries are nearly at an end judging by your other posts, new batteries would probably give you assist to the full 15 mph. The bikes are designed this way to drive to the legal assisted limit. The law requires that the power phases down towards that limit, so that's why you notice the power dropping off as speed increases.
They are essentially electric assist bikes, rather than electric motorbikes, mainly intended to help with the adverse parts of cycling, hills, headwinds etc.
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