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A differential geometric characterization of the first Painlevé transcendent

✍ Scribed by N. Kamran; W. F. Shadwick


Publisher
Springer
Year
1987
Tongue
English
Weight
299 KB
Volume
279
Category
Article
ISSN
0025-5831

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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