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

Abstract

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.

References in corpus (1)

• Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I

Cited by in corpus (2)

• On integrability of a third-order complex nonlinear wave equation
• Integrability of one bilinear equation: singularity analysis and dimension