Non mortising hinges are a type of hinge where you do not have to dig out or mortise the hinge in flush with the door. They lay quite flat all on their own.
They are available in a variety of finishes and sizes. Larger sizes are generally found in specialized hardware stores and online sites.
These hinges can be purchased at most lumber yards, Home Depot, Lee Valley and of course Amazon. Just make sure they come with the screws as some do not and these little screws are harder to locate.