Rational Solutions to the ABS List: Transformation Approach

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dc.contributor.authorZhang, D.
dc.contributor.authorZhang, D.J.
dc.date.accessioned2019-02-19T19:28:50Z
dc.date.available2019-02-19T19:28:50Z
dc.date.issued2017
dc.description.abstractIn the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified τ function in Casoratian form which obeys a bilinear superposition formula.uk_UA
dc.description.sponsorshipThis 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. We are grateful to the referee for the invaluable comments. This project is supported by the NSF of China (no. 11371241 and no. 11631007).uk_UA
dc.identifier.citationRational Solutions to the ABS List: Transformation Approach / D. Zhang, D.J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 35Q51; 35Q55
dc.identifier.otherDOI:10.3842/SIGMA.2017.078
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149259
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleRational Solutions to the ABS List: Transformation Approachuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік