"I'm out of ammo!" ("I sure hope you are too!")
I went to this link from KeepandBearArms because it is a serious question. Unfortunately, the answer provided -- learn swordsmanship -- is, to me at least, no alternative at all.
There is a place for primitive weapons (bows, tomahawks, knives) as supplements to modern firearms. Remember, I'm the guy who believes that there are no obsolete weapons, merely obsolete tactics. But SWORDS?
Go, read his post and see what you think.