How to back up iphone SMS?

PP Assistant-Photos (information)-Select photos (address book, call history (jailbreak required), SMS (jailbreak not required, MMS and iMessage cannot be backed up)-Export-Select the saving path.

The PP Assistant can back up the following contents of iOS devices:

Address book, phone records (jailbreak is required), short messages (MMS and iMessage cannot be backed up without jailbreak), calendars, bookmarks, memos, photos, programs (including archiving), books, music, videos and ringtones.