Drug Names In pharmacology, all drugs have a generic name: Tylenol is acetaminophen, Aleve is naproxen, Amoxil is amoxicillin, Advil is ibuprofen, and so on. The FDA has been looking for a generic name for Viagra -- announcing that it has settled on mycoxafloppin. Also considered were: mycoxafailin, mydixadrupin, mydixarizin, mydixadud, dixafix! , and of course, ibepokin.