Multipeakons and a theorem of Stieltjes

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. Camassa and Holm [2],[3] introduced the strongly nonlinear equation (1 − 1 4 D 2)u t = 3 2 (u 2) x − 1 8 (u 2 x) x − 1 4 (uu xx) x , (1) as a possible model for… (More)

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