How does pulse or burp charging work?
There are two fundamental rules of battery charging: you shouldn't let the battery get too hot, and, you shouldn't let the voltage get too high. 

The .1C charge rule is a rule-of-thumb to protect you from both of the real rules. 

Particularly when you have cheap charging equipment that can't shape the charge curve, and/or Particularly when your real skills are at manufacturing batteries at a competitive cost, not battery chemistry, and you don't know any better.

You can use much higher rates for short periods because (1) If it's short, the battery won't over-heat, and (2), If it's very short, it's just charging the battery capacitance, so the voltage won't go too high. 

If the ambient temperature is low, you can use medium-higher rates for medium-length-periods when the battery voltage is low, because the battery voltage won't go too high until is is partly charged.

Most battery charging is done with pulses, from switch-mode power supplies. 

Most solar-system charging is done with systems where the charge rate is limited by the solar panels, so you couldn't get too much pulse current if you tried.

Burping the batteries is probably a bad idea. Experiments which have tried it report reduced battery life.