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Multipeakons and a theorem of Stieltjes

R. Beals·D. H. Sattinger·J. Szmigielski
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Abstract

A closed form of the multi-peakon solutions of the Camassa-Holm equation is found using a theorem of Stieltjes on continued fractions. An explicit formula is obtained for the scattering shifts.

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R. Beals, D. H. Sattinger, J. Szmigielski. 1999-03-11. Multipeakons and a theorem of Stieltjes. https://doi.org/10.1088/0266-5611%2F15%2F1%2F001

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