A note on the Painlevé analysis of a (2 + 1) dimensional Camassa–Holm equation

We investigate the Painlevé analysis for a (2 + 1) dimensional Camassa–Holm equation. Our results show that it admits only weak Painlevé expansions. This then confirms the limitations of the Painlevé test as a test for complete integrability when applied to non-semilinear partial differential equati...

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Bibliographic Details
Published in	Chaos, solitons and fractals Vol. 28; no. 5; pp. 1281 - 1284
Main Authors	Gordoa, P.R., Pickering, A., Senthilvelan, M.
Format	Journal Article
Language	English
Published	Elsevier Ltd 01.06.2006
Online Access	Get full text

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Summary:	We investigate the Painlevé analysis for a (2 + 1) dimensional Camassa–Holm equation. Our results show that it admits only weak Painlevé expansions. This then confirms the limitations of the Painlevé test as a test for complete integrability when applied to non-semilinear partial differential equations.
ISSN:	0960-0779 1873-2887
DOI:	10.1016/j.chaos.2005.08.119