A quasi-Lie schemes approach to second-order Gambier equations (Q352494)
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: A quasi-Lie schemes approach to second-order Gambier equations |
scientific article; zbMATH DE number 6184359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quasi-Lie schemes approach to second-order Gambier equations |
scientific article; zbMATH DE number 6184359 |
Statements
A quasi-Lie schemes approach to second-order Gambier equations (English)
0 references
4 July 2013
0 references
The authors introduce two new quasi-Lie schemes for second-order Gambier equations and use them to study transformations of these equations (and a number of associate ones like Riccati, Kummer-Schwarz or Milne-Pinney equations) into normal forms. Quasi-Lie schemes generalise the classical notion of Lie systems, ordinary differential equations with a superposition rule. As applications constants of motions and exact solutions are obtained.
0 references
Lie systems
0 references
quasi-Lie schemes
0 references
superposition rules
0 references
second-order Gambier equation
0 references
second-order Riccati equation
0 references
Milne-Pinney equation
0 references
Kummer-Schwarz equation
0 references
