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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146706 |
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| Zitieren: | 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. |
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Sakovich, S. 2019-02-10T19:42:30Z 2019-02-10T19:42:30Z 2011 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 https://nasplib.isofts.kiev.ua/handle/123456789/146706 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. This work was partially supported by the BRFFR grant Φ10-117. The author also thanks the Max Planck Institute for Mathematics for hospitality and support. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Singularity Analysis and Integrability of a Burgers-Type System of Foursov Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov |
| spellingShingle |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov Sakovich, S. |
| 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 |
| author |
Sakovich, S. |
| author_facet |
Sakovich, S. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT sakovichs singularityanalysisandintegrabilityofaburgerstypesystemoffoursov |
| first_indexed |
2025-11-29T07:14:58Z |
| last_indexed |
2025-11-29T07:14:58Z |
| _version_ |
1850854632234942464 |