Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
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| Creator |
Chvartatskyi, O.
Sydorenko, Y. |
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| Description |
New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of (2+1)-dimensional integrable equations, including the DS-III equation and the N-wave problem. Furthermore, we recover a system that contains two types of the KP equation with self-consistent sources as special cases. Darboux and binary Darboux transformations are applied to generate solutions of the proposed hierarchies.
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| Date |
2019-02-12T20:55:36Z
2019-02-12T20:55:36Z 2015 |
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| Type |
Article
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| Identifier |
Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy / O. Chvartatskyi, Y. Sydorenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 85 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q51; 35Q53; 35Q55; 37K35 DOI:10.3842/SIGMA.2015.028 http://dspace.nbuv.gov.ua/handle/123456789/147016 |
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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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