Singularity Analysis and Integrability of a Burgers-Type System of Foursov
We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries without any recursion operator. The Painlevé anal...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2011 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146706 |
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| Цитувати: | Singularity Analysis and Integrability of a Burgers-Type System of Foursov / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146706 |
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dspace |
| spelling |
irk-123456789-1467062019-02-11T01:25:11Z Singularity Analysis and Integrability of a Burgers-Type System of Foursov Sakovich, S. We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries without any recursion operator. The Painlevé analysis easily detects that this is a typical C-integrable system in the Calogero sense and rediscovers its linearizing transformation. 2011 Article Singularity Analysis and Integrability of a Burgers-Type System of Foursov / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35K55; 37K10 DOI:10.3842/SIGMA.2011.002 http://dspace.nbuv.gov.ua/handle/123456789/146706 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries without any recursion operator. The Painlevé analysis easily detects that this is a typical C-integrable system in the Calogero sense and rediscovers its linearizing transformation. |
| format |
Article |
| author |
Sakovich, S. |
| spellingShingle |
Sakovich, S. Singularity Analysis and Integrability of a Burgers-Type System of Foursov Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sakovich, S. |
| author_sort |
Sakovich, S. |
| title |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov |
| title_short |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov |
| title_full |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov |
| title_fullStr |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov |
| title_full_unstemmed |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov |
| title_sort |
singularity analysis and integrability of a burgers-type system of foursov |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146706 |
| citation_txt |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT sakovichs singularityanalysisandintegrabilityofaburgerstypesystemoffoursov |
| first_indexed |
2023-05-20T17:25:28Z |
| last_indexed |
2023-05-20T17:25:28Z |
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1796153262863286272 |