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

Details A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation

2005-11-14

arxiv.org/abs/nlin/0511025v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Chaos, Solitons and Fractals (Accepted for publication)

Scientific paper

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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