Quasi-linear Stokes phenomenon for the Hastings-McLeod solution of the second Painlevé equation
| dc.creator | Kapaev, A. A. | |
| dc.date | 2004-11-04 | |
| dc.date | 2004-11-06 | |
| dc.date.accessioned | 2026-07-07T05:36:04Z | |
| dc.date.available | 2026-07-07T05:36:04Z | |
| dc.description | Using the Riemann-Hilbert approach, we explicitly construct the asymptotic $Ψ$-function corresponding to the solution $y\sim\pm\sqrt{-x/2}$ as $|x|\to\infty$ to the second Painlevé equation $y_{xx}=2y^3+xy-α$. We precisely describe the exponentially small jump in the dominant solution and the coefficient asymptotics in its power-like expansion. | |
| dc.description | LaTeX2e, 22 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0411009 | |
| dc.identifier | http://arxiv.org/abs/nlin/0411009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80865 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Quasi-linear Stokes phenomenon for the Hastings-McLeod solution of the second Painlevé equation | |
| dc.type | text |