The process for deploying a war is very similar to deploying an ear - easier actually, as there are less things to worry about. Simply point WebSphere to the war file, instead of the ear file, and let WebSphere walk you through the steps. If the war has very few dependencies, then it's just a few clicks, and you're done.
When deploying a war, instead of an ear, you need to specify the context-root. That is one little difference.