On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation

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dc.contributor.authorAratyn, H.
dc.contributor.authorGomes, J.F.
dc.contributor.authorZimerman, A.H.
dc.date.accessioned2019-02-07T13:11:01Z
dc.date.available2019-02-07T13:11:01Z
dc.date.issued2006
dc.description.abstractDifferent gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). H.A. acknowledges partial support from Fapesp and IFT-UNESP for their hospitality. JFG and AHZ thank CNPq for a partial support.uk_UA
dc.identifier.citationOn a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation / H. Aratyn, J.F. Gomes, A.H. Zimerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 37K10; 35Q53; 53A07; 53B50
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146097
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOn a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік