Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
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 e...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2015 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147016 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862553471050317824 |
|---|---|
| author | Chvartatskyi, O. Sydorenko, Y. |
| author_facet | Chvartatskyi, O. Sydorenko, Y. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-11-25T21:22:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147016 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T21:22:35Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chvartatskyi, O. Sydorenko, Y. 2019-02-12T20:55:36Z 2019-02-12T20:55:36Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/147016 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. 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). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy Article published earlier |
| spellingShingle | Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy Chvartatskyi, O. Sydorenko, Y. |
| title | Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy |
| title_full | Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy |
| title_fullStr | Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy |
| title_full_unstemmed | Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy |
| title_short | Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy |
| title_sort | darboux transformations for (2+1)-dimensional extensions of the kp hierarchy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147016 |
| work_keys_str_mv | AT chvartatskyio darbouxtransformationsfor21dimensionalextensionsofthekphierarchy AT sydorenkoy darbouxtransformationsfor21dimensionalextensionsofthekphierarchy |