Restricted flows and the soliton equation with self-consistent sources

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dc.contributor.authorRunliang Lin
dc.contributor.authorHaishen Yao
dc.contributor.authorYunbo Zeng
dc.date.accessioned2019-02-06T15:01:07Z
dc.date.available2019-02-06T15:01:07Z
dc.date.issued2006
dc.description.abstractThe KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted flows (by V.B. Kuznetsov et al.), we constructed two types of Darboux transformations for the KdV equation with self-consistent sources (KdVES). These Darboux transformations are used to get some explicit solutions of the KdVES, which include soliton, rational, positon, and negaton solutions.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The authors are grateful to the referees for the valuable comments. This work is supported by the Chinese Basic Research Project “Nonlinear Science”. R.L. Lin is supported in part by “Scientific Foundation for Returned Overseas Chinese Scholars, Ministry of Education”.uk_UA
dc.identifier.citationRestricted flows and the soliton equation with self-consistent sources / Runliang Lin, Haishen Yao, Yunbo Zeng // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 19 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 35Q51; 35Q53; 37K10
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146047
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleRestricted flows and the soliton equation with self-consistent sourcesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік