Abstract
The Painleve property of a partial differential equation, that is, that all solutions are single-valued around all non-characteristic movable singularity manifolds, is widely used as an indicator of its complete integrability (meaning exact solvability). The usual technique employed to investigate the Painleve property seeks formal expansions around movable singularity manifolds. In this paper, we announce a method of proving their convergence. Results are stated for Burgers' and the Korteweg-de Vries equations. For the latter, we outline the proof.
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