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Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Chvartatskyi, O. | |
| dc.contributor.author | Sydorenko, Y. | |
| dc.date.accessioned | 2019-02-12T20:55:36Z | |
| dc.date.available | 2019-02-12T20:55:36Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 35Q51; 35Q53; 35Q55; 37K35 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.028 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147016 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | The authors are grateful to Professors Folkert M¨uller-Hoissen and Maxim Pavlov for fruitful discussions and useful advice in preparation of this paper. The authors also wish to express their gratitude to the referees for their valuable comments and suggestions. O. Chvartatskyi has been supported via the Alexander von Humboldt foundation. Yu.M. Sydorenko is grateful to the Ministry of Education, Science, Youth and Sports of Ukraine for partial financial support (Research Grant MA-107F). | 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 | Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
