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dc.contributor.authorIVANOV, ROSSEN
dc.date.accessioned2008-11-10T14:40:05Z
dc.date.available2008-11-10T14:40:05Z
dc.date.issued2007
dc.date.submitted2007en
dc.identifier.citationA. Constantin, V. Gerdjikov and R. Ivanov `Generalised Fourier transform for the Camassa-Holm hierarchy? in Inverse Problems , 23, (4), 2007, pp 1565 - 1597en
dc.identifier.otherYen
dc.identifier.otherY
dc.identifier.urihttp://hdl.handle.net/2262/24299
dc.descriptionPUBLISHEDen
dc.description.abstractThe squared eigenfunctions of the spectral problem associated to the Camassa-Holm equation represent a complete basis of functions, which helps to describe the Inverse Scattering Transform for the Camassa-Holm hierarchy as a Generalised Fourier transform. The main result of this work is the derivation of the completeness relation for the squared solutions of the Camassa-Holm spectral problem. We show that all the fundamental properties of the Camassa-Holm equation such as the integrals of motion, the description of the equations of the whole hierarchy and their Hamiltonian structures can be naturally expressed making use of the completeness relation and the recursion operator, whose eigenfunctions are the squared solutions.en
dc.format.extent446417 bytes
dc.format.extent1565en
dc.format.extent1597en
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherInstitute of Physicsen
dc.relation.ispartofseriesInverse Problemsen
dc.relation.ispartofseries23en
dc.relation.ispartofseries4en
dc.rightsYen
dc.subjectConservation Laws,en
dc.subjectLax Pairen
dc.subjectIntegrable Systemsen
dc.subjectSolitonsen
dc.titleGeneralised Fourier transform for the Camassa-Holm hierarchyen
dc.typeJournal Articleen
dc.contributor.sponsorScience Foundation Ireland
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/ivanovr
dc.identifier.rssinternalid49518
dc.identifier.rssurihttp://www.iop.org/EJ/abstract/-search=48633244.1/0266-5611/23/4/012
dc.identifier.rssurihttp://arxiv.org/abs/0707.2048v1


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