1 citations · 1 across the 1 of their papers we have counts for
3 papers
math-ph2019
The distribution function for the maximal height of non-intersecting Bessel paths
Dan Dai, Luming Yao
In this paper, we consider non-intersecting Bessel paths starting at , and conditioned to end at the origin . We derive the explicit formula of the distribution…
math-ph2019
On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation
Dan Dai, Shuai-Xia Xu, Lun Zhang
We consider a family of tronquée solutions of the Painelvé II equation \begin{equation*} q''(s)=2q(s)^3+sq(s)-(2α+\frac12), \qquad α> -\frac12, \end{equation*} which is characteriz…
math.CA2017★ 1 cited
On the quasi-Ablowitz-Segur and quasi-Hastings-McLeod solutions of the inhomogeneous Painlevé II equation
Dan Dai, Weiying Hu
We consider the quasi-Ablowitz-Segur and quasi-Hastings-McLeod solutions of the inhomogeneous Painlevé II equation $$ u"(x)=2u^3(x)+xu(x)-α\qquad \textrm{for } α\in \mathbb{R} \tex…