There are 3 types of voluntary personal bankruptcy that can be filed.  Chapter 7, 11, or 13.  There is also a chapter 12 bankruptcy for Family Farmers and Family Fisherman. And there is a type of chapter 11 for small business owners or single asset realty companies. And there are also involuntary bankruptcies that people can be forced into.
The bankruptcy code is found at Title 11 of the United State Bankruptcy code.