A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm   equation
  We investigate the Painleve analysis for a (2+1) dimensional Camassa-Holm equation. Our results show that it admits only weak Painleve expansions. This then confirms the limitations of the Painleve test as a test for complete integrability when applied to non-semilinear partial differential equations. 
P. R. Gordoa, A. Pickering and M. Senthilvelan