12 citations · 22 across the 4 of their papers we have counts for
4 papers
Singular asymptotics for solutions of the inhomogeneous Painlevé II equation
Weiying Hu
We consider a family of solutions to the Painlevé II equation $$ u''(x)=2u^3(x)+xu(x)-α\qquad \textrm{with } \a \in \mathbb{R} \cut \{0\}, $$ which have infinitely many poles on $(…
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…
Connection formulas for the Ablowitz-Segur solutions of the inhomogeneous Painlevé II equation
Dan Dai, Weiying Hu
We consider the second Painlevé equation where is a nonzero constant. Using the Deift-Zhou nonlinear steepest descent method for Riemann-Hilbert pr…
Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
Dan Dai, Weiying Hu, Xiang-Sheng Wang
In this paper, we study a family of orthogonal polynomials arising from nonlinear coherent states in quantum optics. Based on the three-term recurrence relation only,…