Geodesic
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Sergei Sakovich. Singularity Analysis and Integrability of a Burgers-Type System of Foursov. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a1/

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