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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146706 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862613525011103744 |
|---|---|
| author | Sakovich, S. |
| author_facet | Sakovich, S. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-29T07:14:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146706 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-29T07:14:58Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Singularity Analysis and Integrability of a Burgers-Type System of Foursov Sakovich, S. |
| title | 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_short | Singularity Analysis and Integrability of a Burgers-Type System of Foursov |
| title_sort | singularity analysis and integrability of a burgers-type system of foursov |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146706 |
| work_keys_str_mv | AT sakovichs singularityanalysisandintegrabilityofaburgerstypesystemoffoursov |