So, can we assume that you have no stomach pain or diarhhoea?
Can we also assume that although being sick this a.m you are just nauseous?
You presumably have no underlying medical disease and not taking any tablets?
Plain crisps or dry biscuits are what the docs round here suggest but tiny amounts (like one crisp or a bite of biscuit) then a rest then a little more. You might be better switching over to a non diet drink and drink it flat rather than fizzy.