A number of users have reported success by using the Ubuntu's Additional Drivers.
You can use this by going to:
Additional Drivers
System Settings -> Software & Updates -> Additional Drivers -> [Select
the Best Match and Apply Changes]
Alternatively you could use the distributed Windows drivers via Ubuntu's ndiswrapper.
The steps for this is:
Using Windows Drivers via ndiswrapper
Install the ndiswrapper modules:
$ sudo apt-get install ndiswrapper-dkms ndisgtk ndiswrapper-common
$ sudo apt-get install ndiswrapper-source ndiswrapper-utils-1.9
Activate the ndiswrapper:
$ sudo modprobe ndiswrapper
Load the driver into the ndiswrapper:
Navigate to where you saved the driver (look at grab latest drivers in the section below):
$ sudo ndiswrapper -i [driver] # (named something similar to "bcmwlhigh5.ini"
# (Add the ndiswrapper modules to the boot configuration)
$ sudo ndiswrapper -m
More details can be found at: http://faq.apollo3.com/ljames/ubuntu/networksupport/