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The KdV Hierarchy: Universality and a Painlevé Transcendent

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Publication:3143927
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DOI10.1093/imrn/rnr220zbMath1256.35117arXiv1101.2602OpenAlexW2144353909MaRDI QIDQ3143927

Tamara Grava, Tom Claeys

Publication date: 6 December 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2602



Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Perturbations in context of PDEs (35B20)


Related Items (6)

A numerical study of the small dispersion limit of the Korteweg-de Vries equation and asymptotic solutions ⋮ Linearizable Abel equations and the Gurevich–Pitaevskii problem ⋮ Modulated equations of Hamiltonian PDEs and dispersive shocks ⋮ On critical behaviour in generalized Kadomtsev-Petviashvili equations ⋮ On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\) ⋮ Critical behavior for scalar nonlinear waves




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