If there was a standing sound wave tube and a flammable gas was introduced then ignited, would the combustion be more forceful and more efficient since its following a standing wave, than just a gas ignited within a tube?
Although your terms are not precise, I have a feeling that what you are describing is a Rubens' Tube.
Yes, the combustion reflects the standing wave as shown below (from Wikipedia):
Recall that sound is made up of pressure waves and so a standing sound wave means there is larger pressure at some points and lower pressure at others. At the high pressure points, the fuel is pushed out through the opening faster resulting in a taller flame. Also, because the density is increased, more fuel comes out and combustion in enhanced. The opposite is true at the lower pressure regions.