Inverse Scattering Transform for the Camassa-Holm equation

dc.creatorConstantin, Adrian
dc.creatorGerdjikov, Vladimir S.
dc.creatorIvanov, Rossen I.
dc.date2006-03-09
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:07:27Z
dc.date.available2026-07-07T07:07:27Z
dc.descriptionAn Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are explicitly constructed in terms of the scattering data. The main difference with respect to the standard Inverse Scattering Transform lies in the fact that we have a weighted spectral problem. We therefore have to develop different asymptotic expansions.
dc.description17 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/nlin/0603019
dc.identifierhttp://arxiv.org/abs/nlin/0603019
dc.identifierInv. Problems 22 (2006) 2197-2207
dc.identifierdoi:10.1088/0266-5611/22/6/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110396
dc.subjectExactly Solvable and Integrable Systems
dc.titleInverse Scattering Transform for the Camassa-Holm equation
dc.typetext

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