Normally soaking in warm (mid-80's) water helps with a patchy shed. I would add a bit of betadine to the bath to help the burn heal up, the bathwater should be the color of weak tea.
If you've been using neosporin on the burn you'll probably want to switch over to either silvadene (silver sulfadiazine) or to vetericyn gel (Petco sells it) if the scabs come off during the shed and the wound re-opens. Neo is petroleum-based and long-term use can cause the healthy scales to start flaking off.
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