Can you put out an out of control wildfire out with explosives?

Red Adair put out oil well fires with explosives. A stoichiometric mix of acetylene or popane and oxygen will make a blast that leaves only carbon dioxide and water vapor in its wake. It deprives the fire of oxygen.

I have also seen a neat method where guided artillery shells loaded with a moderate explosive and a retardant are targeted at specific locations to put out secondary fires before crews can reach them.
Occasionally military technology can be used for something other than breaking things.

(This method is also being suggested for certain airport crash landings to douse flames before the fire and rescue trucks can arrive.)

Low frequency sound. http://www.wimp.com/fire-sound/