Singularity Analysis and Integrability of a Burgers-Type System of Foursov

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
→
Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Sakovich, S.
dc.date.accessioned	2019-02-10T19:42:30Z
dc.date.available	2019-02-10T19:42:30Z
dc.date.issued	2011
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 35K55; 37K10
dc.identifier.other	DOI:10.3842/SIGMA.2011.002
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146706
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Singularity Analysis and Integrability of a Burgers-Type System of Foursov	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA