You will need to know the database name, username, and password; these can be found
in the database section of your config.inc.php configuration
file:
[database] driver = mysql host = localhost username = pkpuser password = password name = ojs
Back up the database using the mysqldump tool, e.g. if the backup should be placed
in /root/:
$ mysqldump -u pkpuser -p ojs | gzip -9 > /root/ojs-database.sql.gz
Of course, phpMyAdmin or other tools could be used to back up the database.