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Relativistic DNLS and Kaup-Newell Hierarchy
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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| dc.contributor.author | Pashaev, O.K. | |
| dc.contributor.author | Lee, J.-H. | |
| dc.date.accessioned | 2019-02-18T18:22:26Z | |
| dc.date.available | 2019-02-18T18:22:26Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Relativistic DNLS and Kaup-Newell Hierarchy / O.K. Pashaev, J.-H. Lee // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 35Q55; 37K10 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2017.058 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/148742 | |
| dc.description.abstract | By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the nonrelativistic limit c→∞ it reduces to DNLS equation and preserves integrability at any order of relativistic corrections. The compact explicit representation of the linear problem for this equation becomes possible due to notions of the q-calculus with two bases, one of which is the recursion operator, and another one is the spectral parameter. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Symmetries and Integrability of Dif ference Equations. The full collection is available at http://www.emis.de/journals/SIGMA/SIDE12.html. This work was partially supported by Izmir Institute of Technology, Turkey, and Institute of Mathematics, Academia Sinica, Taiwan. The work of O.K.P. was supported by the Scientific and Technological Research Council of Turkey (TUBITAK), Grant No: TBAG-116F206. | 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 | Relativistic DNLS and Kaup-Newell Hierarchy | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
