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Could anyone tell me about the applications of Peakon (peaked soliton solution) in the fields of Mathematics and Physics?

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Can you make the question a bit more focused, and give some background context so that people know what kinds of answers would be helpful to you? See mathoverflow.net/howtoask –  Yemon Choi Jan 13 '12 at 5:13
Yes, Wikipedia can: en.wikipedia.org/wiki/Peakon –  S. Carnahan Jan 13 '12 at 7:12
@S: but wikipedia is not asking the question, so it is not clear what it is the OP is looking for... –  Igor Rivin Jan 13 '12 at 14:48

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