dc.contributor.author | IVANOV, ROSSEN | |
dc.date.accessioned | 2008-11-10T14:40:05Z | |
dc.date.available | 2008-11-10T14:40:05Z | |
dc.date.issued | 2007 | |
dc.date.submitted | 2007 | en |
dc.identifier.citation | A. Constantin, V. Gerdjikov and R. Ivanov `Generalised Fourier transform for the Camassa-Holm hierarchy? in Inverse Problems , 23, (4), 2007, pp 1565 - 1597 | en |
dc.identifier.other | Y | en |
dc.identifier.other | Y | |
dc.identifier.uri | http://hdl.handle.net/2262/24299 | |
dc.description | PUBLISHED | en |
dc.description.abstract | The 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.extent | 446417 bytes | |
dc.format.extent | 1565 | en |
dc.format.extent | 1597 | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | Institute of Physics | en |
dc.relation.ispartofseries | Inverse Problems | en |
dc.relation.ispartofseries | 23 | en |
dc.relation.ispartofseries | 4 | en |
dc.rights | Y | en |
dc.subject | Conservation Laws, | en |
dc.subject | Lax Pair | en |
dc.subject | Integrable Systems | en |
dc.subject | Solitons | en |
dc.title | Generalised Fourier transform for the Camassa-Holm hierarchy | en |
dc.type | Journal Article | en |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/ivanovr | |
dc.identifier.rssinternalid | 49518 | |
dc.identifier.rssuri | http://www.iop.org/EJ/abstract/-search=48633244.1/0266-5611/23/4/012 | |
dc.identifier.rssuri | http://arxiv.org/abs/0707.2048v1 | |
dc.contributor.sponsor | Science Foundation Ireland | |