Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation

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dc.contributor.authorXue, L.L.
dc.contributor.authorLiu, Q.P.
dc.date.accessioned2019-02-10T18:56:56Z
dc.date.available2019-02-10T18:56:56Z
dc.date.issued2014
dc.description.abstractFor 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.sponsorshipThe 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.identifier.citationBäcklund-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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 35Q53; 37K10; 35A30
dc.identifier.otherDOI:10.3842/SIGMA.2014.045
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146690
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleBäcklund-Darboux Transformations and Discretizations of Super KdV Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік