A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation
classification
🌊 nlin.SI
keywords
painleveanalysiscamassa-holmdimensionalequationtestadmitsapplied
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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.
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