1) The network setup routine obtained an address from a DHCP server somewhere on your network, or
2) You told it to stop when it was trying to get an address, and gave it one manually.
Either way, the address existed before you installed Zimbra at all. Nevertheless, as Bill pointed out, if you didn't have some DNS that resolved the FQDN to a good IP, Zimbra would not have installed in the first place. However, that's not a separate address from the public one unless you followed the instructions for a split DNS, and if you did that, you will have already had to know the internal and external addresses.
Bottom line, if you don't know, there probably isn't one.
But because the installation of the standard edition was succesful, I tried to install the opensource edition.
the installation of the opensource edition was nearly the same as the standard edition, but at last I received this error
Setting defaults...Starting ldap...failed with exit code 256.
daemon: getaddrinfo() failed: Name or service not known
any suggestions ?
thanx in advance !
The way you get at the administration of Zimbra is https://whateveraddress:7071. You should be able to do this even if the internet is down, if you are on the same LAN or DMZ that you set your Zimbra box up on, but it is NOT a different address from the "public" one unless you configured split DNS, and Zimbra does not do this for you.
If this still doesn't make sense to you perhaps we should talk about precisely what network setup you used to create your Zimbra box.
Usually these sorts of errors result either from a missing dependency or a problem with DNS. Have you followed the instructions in this wiki for your Ubuntu install?