Reduction for Painlevé equations at the fixed singular points of the second kind (Q923179)
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: Reduction for Painlevé equations at the fixed singular points of the second kind |
scientific article; zbMATH DE number 4169078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reduction for Painlevé equations at the fixed singular points of the second kind |
scientific article; zbMATH DE number 4169078 |
Statements
Reduction for Painlevé equations at the fixed singular points of the second kind (English)
0 references
1990
0 references
This paper gives a reduction theorem for Painlevé equations near the fixed singular points of the second kind in the framework of Hamiltonian mechanics. By using a formal canonical transformation which has a better convergence, the author obtains all known 2-parameter families of solutions for Painlevé equations and new ones. In the last section the author also studies the problem of stability domain.
0 references
reduction theorem
0 references
Painlevé equations
0 references
stability domain
0 references
