Better yet, check out Professor Longhair aka Henry Byrd. Big Chief pretty much epitomizes the second line cadence.Hey Punter, I'm sure Dave and saxoclese have it right, from a technical standpoint. In a practical sense if you want to incorporate this into your playing, imo the way to do it is to play along and match the recording until you get the feel of it and totally absorb it. I sometimes use this rhythmic device and some others that I would find hard to notate, but when you get the feel of it you can play it.
That's a great tune, by the way. 'New Orleans style' rhythm.