I didn't test with CS3 but I know CS2 installs and runs well.

If you're using Ubuntu 9.10 or 10.04, you should install the latest Wine version using PPA. In a terminal, run these commands:
sudo add-apt-repository ppa:ubuntu-wine/ppa
sudo apt-get update
sudo apt-get install wine

Then run the CS3 installer.

If it doesn't work and you have a powerful computer (I mean, with a dual-core CPU and plenty of ram), you can create a Windows virtual machine in Virtual Box and install CS3 in the virtual machine but you'll need a Windows CD / ISO to do that.
Virtual Box download: [url]http://www.virtualbox.org/wiki/Linux_Downloads[/url]

I hope this help.

Otherwise, you can use Linux programs Gimp and Inkscape which offer similar features as Photoshop and Illustrator.

Wine won't work but VirtualBox will.

Your best bet is to use VirtualBox, install Windows, install Adobe...

Also check out GIMP for image manipulation (an alternative to Photoshop) and InkScape for Vector Work (an alternative to Illustrator)...

VirtualBox has been fantastic - I only use Windows for Adobe Creative Suite, so once I got it installed with all the updates, I saved a 'snapshot' which allows me to restore to that snapshot if ever windows starts feeling sluggish again... It's like have a new OS everytime I startup...

I just installed the CS5 trial to check it out... all runs great except since I install the x32 bit version, I'm unable to use After Effects and Premier - which is fine because I don't use them anyway...

I admire the WINE initiative and when I first started with Linux I used it a lot, but over the last couple years, I've found Linux apps to do what I need and quite prefer over windows apps - the only exception being Adobe Creative Suite...

And before CS3, I had CS2 running in WINE but it just didn't work as well as it does in Windows...