On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results
This paper proves the existence of asymptotic expansions to all orders for the solutions of the second Painlevé equation. Using the linearization obtained via a Riemann-Hilbert problem, the amplitude part of the connection formula for this equation is derived, and some other results obtained.
scientific article; zbMATH DE number 4061713