✦ LIBER ✦
The Third Order Ordinary Differential Equations Admitting the Painlevé I and II as First Integrals
✍ Scribed by Guy Grebot
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 158 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Third order ordinary differential equations admitting the Painleve equations PI ánd PII as first integrals are completely characterized. This is done by determining necessary and sufficient conditions for these equations to belong to the equivalence class of certain canonical equations. This characterization also includes equations admitting first integrals which are equivalent to PI and PII. The general form of these equations is given. In some cases we determine the transformation taking the equation into a canonical one.