Generating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation

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Authors

Marta Mazzocco · Diversified Maintenance Systems (United States)

Abstract

In this paper we consider a Hankel determinant formula for generic solutions of the Painleve' II equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the linear problem of which the Painleve' II equation describes the isomonodromic deformations.

Topics & Keywords

Nonlinear Waves and Solitons Nonlinear Photonic Systems Numerical methods for differential equations

Publication Details

Published in: arXiv (Cornell University)

DOI: 10.48550/arxiv.nlin/0406035

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Generating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation

Authors

Abstract

Topics & Keywords

Publication Details