Multipeakons and the Classical Moment Problem

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dc.creatorBeals, Richard
dc.creatorSattinger, D. H.
dc.creatorSzmigielski, J.
dc.date1999-06-04
dc.date.accessioned2026-07-07T06:17:50Z
dc.date.available2026-07-07T06:17:50Z
dc.descriptionClassical results of Stieltjes are used to obtain explicit formulas for the peakon-antipeakon solutions of the Camassa-Holm equation. The closed form solution is expressed in terms of the orthogonal polynomials of the related classical moment problem. It is shown that collisions occur only in peakon-antipeakon pairs, and the details of the collisions are analyzed using results {}from the moment problem. A sharp result on the steepening of the slope at the time of collision is given. Asymptotic formulas are given, and the scattering shifts are calculated explicitly
dc.description32 pages, 3 figures; to appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/solv-int/9906001
dc.identifierhttp://arxiv.org/abs/solv-int/9906001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94524
dc.subjectExactly Solvable and Integrable Systems
dc.titleMultipeakons and the Classical Moment Problem
dc.typetext

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