T. Claeys

activity

20052023

most citedUniversality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

82 citations · 566 across the 38 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math-ph2009

Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limit

T. Claeys, T. Grava

We study the small dispersion limit for the Korteweg-de Vries (KdV) equation $u_{t} + 6 u u_{x} + ε^{2} u_{xxx} = 0$ in a critical scaling regime where $x$ approaches the trailing edge of the r…

math-ph2009

Higher order analogues of the Tracy-Widom distribution and the Painleve II hierarchy

T. Claeys, A. Its, I. Krasovsky

We study Fredholm determinants related to a family of kernels which describe the edge eigenvalue behavior in unitary random matrix models with critical edge points. The kernels are…