Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation

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dc.contributor.authorShi, Y.
dc.contributor.authorNimmo, J.
dc.contributor.authorZhao, J.
dc.date.accessioned2019-02-18T16:48:08Z
dc.date.available2019-02-18T16:48:08Z
dc.date.issued2017
dc.description.abstractThe paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential modified KdV equation and it is shown how these may be used to construct exact solutions.uk_UA
dc.description.sponsorshipOne of the author (YS) would like to acknowledge Professor Jarmo Hietarinta for his useful suggestions and hospitality when the author visited Turku University. The authors (YS and JXZ) also thank for the financial support from NSFC (Grant Numbers 11501510, 11271362, 11271266).uk_UA
dc.identifier.citationDarboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation / Y. Shi, J. Nimmo, J. Zhao // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 39A14; 37K10; 35C08
dc.identifier.otherDOI:10.3842/SIGMA.2017.036
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148634
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleDarboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equationuk_UA
dc.typeArticleuk_UA

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