I want to combine multiple photographs of the same landscape to increase the resolution of the final image. More details on the method here: http://en.wikipedia.org/wiki/Super-resolution
What software can I use to achieve this?
you can check out:
and the product:
There was an answer in the very article you linked to - Super Resolution GUI (under "External Links" on that wiki page).
You will need Photoshop CS6 extended version (or Photoshop CC).
You will get a nice clean super resolution image result!