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 $(…