A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation

DOI10.1016/j.physd.2017.10.011zbMath1375.34125OpenAlexW2767059144MaRDI QIDQ1683476

Bengt Fornberg, J. A. C. Weideman, Marco Fasondini

Publication date: 1 December 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2017.10.011

zbMATH Keywords

Painlevé transcendentsBäcklund transformationsconnection formulaepole field solver\(\mathrm{P}_{\mathrm{III}}\) equationTronquée solutions

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (5)

Open problems for Painlevé equations ⋮ Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces ⋮ Asymptotic expansions relating to the distribution of the length of longest increasing subsequences ⋮ Painlevé-III monodromy maps under the \(D_6 \rightarrow D_8\) confluence and applications to the large-parameter asymptotics of rational solutions ⋮ Tronquée solutions of the third and fourth Painlevé equations

Uses Software

• DLMF

Cites Work

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