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Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Xue, L.L. | |
| dc.contributor.author | Liu, Q.P. | |
| dc.date.accessioned | 2019-02-10T18:56:56Z | |
| dc.date.available | 2019-02-10T18:56:56Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation / L.L. Xue, Q.P. Liu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 35Q53; 37K10; 35A30 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.045 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146690 | |
| dc.description.abstract | For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations. The reduction of one of the Bäcklund-Darboux transformations and the corresponding discrete system are considered for Kupershmidt's super KdV equation. When all the odd variables vanish, a nonlinear superposition formula is obtained for Levi's Bäcklund transformation for the KdV equation. | uk_UA |
| dc.description.sponsorship | The comments of the anonymous referees have been useful in clarifying certain points such as the connection between Levi’s B¨acklund transformation and elementary B¨acklund transformation of the KdV equation. This work is supported by the National Natural Science Foundation of China (grant numbers: 10971222, 11271366 and 11331008) and the Fundamental Research Funds for Central Universities. | 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 | Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
