Beals, R.; Sattinger, D. H.; Szmigielski, J. Multi-peakons and a theorem of Stieltjes. (English) Zbl 0923.35154 Inverse Probl. 15, No. 1, L1-L4 (1999). 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. Cited in 138 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 35C05 Solutions to PDEs in closed form Keywords:multi-peakon solutions; Camassa-Holm equation; scattering shifts PDFBibTeX XMLCite \textit{R. Beals} et al., Inverse Probl. 15, No. 1, L1--L4 (1999; Zbl 0923.35154) Full Text: DOI arXiv