Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Restricted flows and the soliton equation with self-consistent sources
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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| dc.contributor.author | Runliang Lin | |
| dc.contributor.author | Haishen Yao | |
| dc.contributor.author | Yunbo Zeng | |
| dc.date.accessioned | 2019-02-06T15:01:07Z | |
| dc.date.available | 2019-02-06T15:01:07Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | Restricted 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.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 35Q51; 35Q53; 37K10 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146047 | |
| dc.description.abstract | The 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.sponsorship | This 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.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 | Restricted flows and the soliton equation with self-consistent sources | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
