Quasi-linear Stokes phenomenon for the Hastings-McLeod solution of the second Painlevé equation

A. A. Kapaev

Using the Riemann-Hilbert approach, we explicitly construct the asymptotic $\Psi$-function corresponding to the solution $y\sim \pm \sqrt{-x/2}$ as $|x|\to \infty$ to the second Painlevé…