|
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
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
Citation:
Sergei Sakovich, “Singularity Analysis and Integrability of a Burgers-Type System of Foursov”, SIGMA, 7 (2011), 002, 5 pp.
Linking options:
https://www.mathnet.ru/eng/sigma560 https://www.mathnet.ru/eng/sigma/v7/p2
|
Statistics & downloads: |
Abstract page: | 197 | Full-text PDF : | 47 | References: | 37 |
|