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Zbl 0923.35154
Beals, R.; Sattinger, D.H.; Szmigielski, J.
Multi-peakons and a theorem of Stieltjes. (English)
[J] Inverse Probl. 15, No.1, L1-L4 (1999). ISSN 0266-5611

Summary: 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.
MSC 2000:
*35Q53 KdV-like equations
37J35 Completely integrable systems, etc.
37K10 Completely integrable systems etc.
35C05 Solutions of PDE in closed form

Keywords: multi-peakon solutions; Camassa-Holm equation; scattering shifts

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