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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 002, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.002 (Mi sigma560) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Sergei Sakovichab

a Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
b Institute of Physics, National Academy of Sciences, 220072 Minsk, Belarus
Full-text PDF (225 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2011.002
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.
Keywords: coupled Burgers-type equations; Painlevé test for integrability.
Received: October 28, 2010; in final form December 24, 2010; Published online January 4, 2011
Bibliographic databases:
Document Type: Article
MSC: 35K55; 37K10
Language: English
Citation: Sergei Sakovich, “Singularity Analysis and Integrability of a Burgers-Type System of Foursov”, SIGMA, 7 (2011), 002, 5 pp.
Citation in format AMSBIB
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\paper Singularity Analysis and Integrability of a~Burgers-Type System of Foursov
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    		Symmetry, Integrability and Geometry: Methods and Applications
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