It's just the continuous heat of the exhaust gasses that heat the filter (or "soot cooker") to a high enough temperature that it will then burn off the soot particles trapped inside. The only way to keep the exhaust gasses hot enough (over 1100-ish degrees F), is to run the engine under load, with rpm's inside that green band on the tach. The system the Branson uses does not inject any extra fuel into this particle filter. The "plug" is like Eric says, just something you can remove if the filter gets plugged up enough that the engine won't run, so that you can then load the tractor on a trailer to transport it for repair. My dealer told me the only way that he's aware to "clean" the filter, is to remove it and send it off to be baked in an oven (the cleaning service that Eric references).
My plan is just to replace mine with a muffler. Once the filter is off, and the data logger is unplugged from the harness (and I will take it off and store it next to the filter on a shelf), then the tractor will run just fine without it. Hopefully will get this done this year before winter sets in. Not too much of a job, think a local welding shop can fabricate up what I need. Hardest part may be taking the hood off to get to everything.