Edit: After some further experimenting, I've created an explosion entity using the code:
Apply Physics impulse distance(Target.x, Target.y, Explosion.x, Explosion.y) / 100 at angle angle(Target.x, Target.y, Explosion.x, Explosion.y) at image point 0.
This sort of has the effect that I am going for, however it is very slow and weak. It's less of a blast and more of a lame push. My character also drops like a stone the second they aren't being pushed by the explosions. No momentum is preserved. It may require some tweaking to the platformer settings, but in the event that that isn't the case, I'd like to know what more physics commands I need to write.