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

P.R. Gordoa, A. Pickering and M. Senthilvelan

Chaos, Solitons & Fractals, 2006, vol. 28, issue 5, 1281-1284

Abstract: 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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:5:p:1281-1284

DOI: 10.1016/j.chaos.2005.08.119

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