9 citations · 9 across the 1 of their papers we have counts for
3 papers
nlin.SI2004★ 9 cited
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 -function corresponding to the solution as to the second Painlevé…
nlin.SI2001
Monodromy deformation approach to the scaling limit of the Painleve first equation
A. A. Kapaev
The isomonodromy deformation equation for a 2x2 matrix linear ODE with a large parameter can be locally reduced to a (hyper)elliptic equation. To globalize this result, we apply th…
solv-int1998
Connection formulae for degenerated asymptotic solutions of the fourth Painleve equation
Andrei A. Kapaev
All possible 1-parametric classical and transcendent degenerated solutions of the fourth Painleve equation with the corresponding connection formulae of the asymptotic parameters a…