Leaderless protest is sensible when there is a clear, single goal and you do not trust the people you are protesting against- the UK has a few recent examples with the Anon v Scientology thing (strip them of their status as a religion, basically), and the more recent student protests (don't raise the fees and cut EMA).

When it's just a massive general Being Angry At Things, though, there's no way to see what's needed to stop the protests. If it's just discontent at the state, the state would do well to look at blogs and see what gets complained about the most - maybe some reforms on the judicial system would cool things down enough to take the wind out of the protestors' sails, or possibly an agreement to subsidise food and provide better healthcare in built up and slum areas.

But again, that circles back to there being an identifiable goal. No identifiable goal or reasoning, no method of soothing the mob.