On Airy Solutions of the Second Painlevé Equation

DOI10.1111/sapm.12123zbMath1346.35179arXiv1510.08326OpenAlexW3124193524MaRDI QIDQ2816387

Peter A. Clarkson

Publication date: 22 August 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08326

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (13)

Classical solutions of the degenerate fifth Painlevé equation ⋮ Large \(z\) asymptotics for special function solutions of Painlevé II in the complex plane ⋮ Open problems for Painlevé equations ⋮ Special function solutions of Painlevé equations: theory, asymptotics and applications ⋮ Series solution of Painlevé II in electrodiffusion: conjectured convergence ⋮ Unnamed Item ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ On the increasing tritronquée solutions of the Painlevé-II equation ⋮ Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation ⋮ Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part I ⋮ A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points ⋮ Solutions of Painlevé II on Real Intervals: Novel Approximating Sequences ⋮ Generalised Airy polynomials

Uses Software

• DLMF

Cites Work

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