Wallpaper Engine is not available for Linux but there are a few alternatives that runs on Linux with similar functionality. The best Linux alternative is Variety Wallpaper Changer, which is both free and Open Source. If that doesn't suit you, our users have ranked more than 25 alternatives to Wallpaper Engine and three of them are available for Linux so hopefully you can find a suitable replacement. Other interesting Linux alternatives to Wallpaper Engine are QuickWall (Free, Open Source) and xlivebg (Free, Open Source).
QuickWall was initialy launched as a wallpaper app that would set wallpapers directly from the commandline. Later due to a lot of requests from users , a theme option was added which uses pywal to generate themes from the wallpapers.
xlivebg is a live wallpaper framework, and collection of live wallpapers, for the X window system. xlivebg is independent of window managers and desktop environments, and should work with any of them, or even with no window manager at all.