Restricted flows and the soliton equation with self-consistent sources
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Restricted flows and the soliton equation with self-consistent sources
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| Creator |
Runliang Lin
Haishen Yao Yunbo Zeng |
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| Description |
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.
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| Date |
2019-02-06T15:01:07Z
2019-02-06T15:01:07Z 2006 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 35Q51; 35Q53; 37K10 http://dspace.nbuv.gov.ua/handle/123456789/146047 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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