Singularity Analysis and Integrability of a Burgers-Type System of Foursov
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
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| Creator |
Sakovich, S.
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| 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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| Date |
2019-02-10T19:42:30Z
2019-02-10T19:42:30Z 2011 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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