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

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

2010-10-27

arxiv.org/abs/1010.5709v2

SIGMA 7 (2011), 002, 5 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.3842/SIGMA.2011.002

We apply the Painleve 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 Painleve analysis easily detects that this is a typical C-integrable system in the Calogero sense and rediscovers its linearizing transformation.

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