A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation
arXiv:nlin/0511025 · doi:10.1016/j.chaos.2005.08.119
Abstract
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.
Chaos, Solitons and Fractals (Accepted for publication)