Abstract
This article concerns with the first Painlevé hierarchy, i.e. the $2n$-th order analogues of the first Painlevé equation. Several higher order analogues of the first Painlevé equation are proposed by several authors however, we investigate one derived from the KdV hierarchy by studying singularity manifold. We give the auxiliary differential polynomials of the first Painlevé hierarchy.
Citation
Yoshikatsu Sasaki. "Auxiliary differential polynomials for the first Painlevé hierarchy." Proc. Japan Acad. Ser. A Math. Sci. 91 (1) 7 - 8, January 2015. https://doi.org/10.3792/pjaa.91.7
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