PostgreSQL
From FusionPBX
PostgreSQL is a enterprise grade open source database. http://www.postgresql.org/
Backup
The following assumes the database username is fusionpbx and the database to backup is fusionpbx. Make sure you have the database password ready.
pg_dump -U fusionpbx fusionpbx -b -v -f /tmp/fusionpbx.sql
Restore
Additional Info
http://www.mkyong.com/database/backup-restore-database-in-postgresql-pg_dumppg_restore/