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Multipeakons and a theorem of Stieltjes

R. Beals, D. H. Sattinger, J. Szmigielski

solv-intarXiv:solv-int/9903011

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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