Add the pork, Dr. Pepper, and apple juice to a slow cooker. Cook until the meat begins to fall apart. Mine cooked on high for three hours. Remove the meat from the cooker and allow to rest until it is cool enough to pull. Skim any fat off the juice in the slow cooker. Pour the remaining juices into a medium saucepan. Add the brown sugar, salt and pepper and simmer until thickened. Pull the pork into shreds. Pour the thickened sauce over it. Serve on toasted rolls with condiments of your choice. If you don't like sweet pulled pork just omit the brown sugar.
Approximate nutrition information is provided as a convenience and courtesy only. You are encouraged to do your own calculations if precise data is required.