There are in general no differences between Windows and Linux w.r.t. the licensing. That is, there are no special "Windows licenses".
Thus, if you have a purchased license, you can run on Linux, unless you have a node-locked license for the Windows computer, of course. But if it's a floating license (you have some license server running), then just run on the Linux machine as you do on Windows.
If you have a demo license, it works on any machine.
If you have further questions on licensing, please contact your sales representative (from where you bought the license, or who issued the trial license).
