This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread for details.
Tomcat has been running for more than a decade in major enterprises. It is the most popular J2EE webapp server for limited-stack J2EE functionality and has been embedded into a number of the major full-stack servers such as JBoss and JoNaS.
Your Google link returns a lot of results that are only loosely related to each other, and most of them refer to use of Tomcat in Enterprise environments, not a "Tomcat Enterprise Edition", but I suspect that what you are really referring to is a recent announcement by SpringSource that they have been developing an "Enterprise Tomcat", which itself is the link to the product, docs, etc.
That product is not, strictly speaking Tomcat, as it is not a product of Tomcat's official development group, the Apache Foundation. It is a construct of SpringSource.org.
An IDE is no substitute for an Intelligent Developer.