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Painlevé II asymptotics near the leading edge of the oscillatory zone for the Korteweg-de Vries equation in the small-dispersion limit

  • Published:2009-03-03 Issue:2 Volume:63 Page:203-232
  • ISSN:0010-3640
  • Container-title:Communications on Pure and Applied Mathematics
  • language:en
  • Short-container-title:Comm. Pure Appl. Math.

Author:

Claeys Tom,Grava Tamara

Funder

Postdoctoral Fellow of the Fund for Scientific Research - Flanders (Belgium)

Belgian Interuniversity Attraction Pole

FWO-Flanders Project

K.U. Leuven Research Grant

ESF Research Programme MISGAM

MISGAM

RTN ENIGMA

Italian COFIN 2004 “Geometric methods in the theory of nonlinear waves and their applications.”

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference38 articles.

1. On the distribution of the length of the longest increasing subsequence of random permutations;Baik;J Amer Math Soc,1999

2. Mathematical Surveys and Monographs;Beals,1988

3. Double scaling limit in the random matrix model: the Riemann-Hilbert approach;Bleher;Comm Pure Appl Math,2003

4. An integrable shallow water equation with peaked solitons;Camassa;Phys Rev Lett,1993

5. Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach;Claeys;Comm Math Phys

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