Drug names In pharmacology, all drugs have two names--a trade name and a generic name. For example, the trade name of Tylenol is acetaminophen. Aleve is known as naproxen, and Advil is ibuprofen. The Industry has been looking for a generic name for Viagra. After consideration by a team of government experts, it recently announced the generic name of mycoxafloppin. Also considered were mycoxafailin, mydixadrupin, mydixarizin, mydixadud, dixafix, and of course, ibepokin.