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On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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| dc.contributor.author | Aratyn, H. | |
| dc.contributor.author | Gomes, J.F. | |
| dc.contributor.author | Zimerman, A.H. | |
| dc.date.accessioned | 2019-02-07T13:11:01Z | |
| dc.date.available | 2019-02-07T13:11:01Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | On 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.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 37K10; 35Q53; 53A07; 53B50 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146097 | |
| dc.description.abstract | Different 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.sponsorship | This 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
