Talk:Peakon

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Funny that someone should start this article just now! I was working on a draft, and although it isn't complete, I'll put it here anyway so that others can start improving it too.

Note that I'm citing one of my own papers, but I needed it to support the claim that the DP multipeakon solution can be expressed explicitly in terms of elementary functions, so I think it is justified. (And if anyone disagrees, we can always delete it.)

Ideas for other things that could be added to this article:

Animations of multipeakon solutions!
Asymptotics as time goes to plus/minus infinity.
A sketch of the method of solution.
Peakon-antipeakon collisions (leading to "shockpeakons" in the DP case)
Orbital stability of the single-peakon solution (which is proved for CH and DP, but as far as I know it is still an open problem for n>1)

Hans Lundmark (talk) 20:41, 14 April 2008 (UTC)[reply]