Linearization and special asymptotic behaviour of the second Painlevé equation (Q1265096)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Linearization and special asymptotic behaviour of the second Painlevé equation |
scientific article; zbMATH DE number 1206620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearization and special asymptotic behaviour of the second Painlevé equation |
scientific article; zbMATH DE number 1206620 |
Statements
Linearization and special asymptotic behaviour of the second Painlevé equation (English)
0 references
13 November 2001
0 references
The author discusses the linearization of an initial value problem associated with a special second Painlevé equation using an isomonodromic spectral problem. Further, properties of the monodromy data are deduced and these properties are used to reduce the problem to a linear singular integral equation via Riemann-Hilbert boundary value problem on an imaginary line. Some special asymptotic solutions are also presented.
0 references
second Painlevé equation
0 references
linearization special asymptotic behaviour
0 references
