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math.CA2017★ 5 cited
Hirota bilinear equations for Painlevé transcendents
A. N. W. Hone, F. Zullo
We present some observations on the tau-function for the fourth Painlevé equation. By considering a Hirota bilinear equation of order four for this tau-function, we describe the ge…
math.CA2012
Properties of the series solution for Painleve I
A. N. W. Hone, O. Ragnisco, F. Zullo
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painleve equation. For the general solution,…