Quick /clear Question! Help!

I'm currently making a map. It's possible to have two different bows. But, at a certain time I want to clear only one, not the other. The one I need to clear has enchants and lore, so it's special. I was wondering if there was any way to clear this special bow, but not the other. Here's the give command for the bow I wanna clear: /give @p bow 1 0 {ench:[{id:51,lvl:1},{id:48,lvl:1000}],display:{Name:"Baracade Bow",Lore:["You may use this for the time the baracades are up!"]}}

If I use /clear @a bow, it clears all bows. Any idea how to get it to clear that one? ^^^