3 citations · 3 across the 1 of their papers we have counts for
3 papers
math-ph2011★ 3 cited
The KdV hierarchy: universality and a Painleve transcendent
T. Claeys, T. Grava
We study the Cauchy problem for the Korteweg-de Vries (KdV) hierarchy in the small dispersion limit where $\e\to 0$. For negative analytic initial data with a single negative hump,…
math-ph2010
Asymptotics for a special solution to the second member of the Painleve I hierarchy
T. Claeys
We study the asymptotic behavior of a special smooth solution y(x,t) to the second member of the Painleve I hierarchy. This solution arises in random matrix theory and in the study…
math-ph2006
The existence of a real pole-free solution of the fourth order analogue of the Painleve I equation
T. Claeys, M. Vanlessen
We establish the existence of a real solution y(x,T) with no poles on the real line of the following fourth order analogue of the Painleve I equation, x=Ty-({1/6}y^3+{1/24}(y_x^2+2…