Sorry for the late answer to your solution. There was some problem with my account in fixya.
I was not able to post any solution from yesterday as the new site is in development stage as told by the customer care of fixya.
I seen your question. You have to check the power cord of your bose wave radio first. Is there is any loose contact at its socket at the both ends. If its seems ok, Then you have to check the inline fuse inside the wave radio. For that you have to open the wave radio. I am giving you this solution assuming that you are aware of reparing electronic items. If you have some knowledge on fixing electronic items then you can fix it yourself.
Before removing the wave radio remove the power cord from the sockets. There will be 6 screws at the bottom of your wave radio in some models its 8 numbers. After removing the screws turn the radio and pull out the top cover. You can see the inline fuse near the AC input socket where you connect the power cord. Using a multimeter test the contnuity of the fuse. it should show zero ohms. if no, then the fuse is faulty remove the fuse and replace with a new one and power up the radio and check
If there is no other fault the wave radio will work ok. If the fuse blows again then the transformer of your wave radio is faulty. The primary winding of the transformer have some short inside. As it is a custom design the C core transformers are only available through bose service centers. If they are willing to supply the transformers to customers then buy it from them and replace yourself. If not, then you have to give the radio to them to be repeired. If you need any more assistance feel free to conatct me through fixya.The fuse will look like one in the picture.