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Aspects of the Painlevé property for partial differential equations

✍ Scribed by M. Tabor; J.D. Gibbon


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
616 KB
Volume
18
Category
Article
ISSN
0167-2789

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Projective Differential Geometrical Stru
✍ M.V. Babich; L.A. Bordag 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 250 KB

The necessary and sufficient conditions that an equation of the form y"= f (x, y, y$) can be reduced to one of the Painleve equations under a general point transformation are obtained. A procedure to check these conditions is found. The theory of invariants plays a leading role in this investigation