On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\)

DOI10.1007/s00365-015-9285-3zbMath1326.34136arXiv1306.6161OpenAlexW268256442MaRDI QIDQ2351046

Christian Klein, Tamara Grava, Andrei A. Kapaev

Publication date: 26 June 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6161

zbMATH Keywords

asymptoticsperturbationRiemann-Hilbert problemmultipliersPainlevé equationsquasi-linear Stokes phenomenontritronduée solutions

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (11)

Spectral approach to Korteweg-de Vries equations on the compactified real line ⋮ Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Numerical approach to Painlevé transcendents on unbounded domains ⋮ Numerical study of fractional Camassa-Holm equations ⋮ Numerical study of break-up in solutions to the dispersionless Kadomtsev-Petviashvili equation ⋮ Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation ⋮ Truncated solutions of Painlevé equation \({\mathrm P}_{\mathrm V}\) ⋮ On critical behaviour in generalized Kadomtsev-Petviashvili equations ⋮ Tronquée solutions of the third and fourth Painlevé equations ⋮ On an isomonodromy deformation equation without the Painlevé property ⋮ On critical behaviour in systems of Hamiltonian partial differential equations

Uses Software

• Matlab
• chebop

Cites Work

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