Fullscreen dual monitor

I'm trying to create an application for dual monitor fullscreen, but it said the resolution is invalid (LWJGLDisplaySystem.java: Bad display mode), because it return the physical.

The idea is to draw in the virtual device screen and not in the physical. What I can do it?

I want to extend to StereoGame, the idea is to create another window with the second device.

GraphicsEnviroment -> GraphicsDevice -> GraphicsConfiguration -> new Window

After this, it draw result of the render in this new window.

It might be more prudent to talk to the guys at lwjgl to see how to do this because I'm fairly confident there's no direct support in jME (yet).  However, this is something I've thought about as well and would be great to have the ability.