Multipeakons and a theorem of Stieltjes

Details Multipeakons and a theorem of Stieltjes Multipeakons and a theorem of Stieltjes

1999-03-11

arxiv.org/abs/solv-int/9903011v1

Inverse Problems, volume 15 (1999), Letters, L1-L4

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages

Scientific paper

10.1088/0266-5611/15/1/001

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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