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Differential-geometric structures in the theory of two-dimensional integrable equations

✍ Scribed by V. G. Mikhalev


Publisher
Springer US
Year
1992
Tongue
English
Weight
286 KB
Volume
62
Category
Article
ISSN
1573-8795

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Projective Differential Geometrical Stru
✍ M.V. Babich; L.A. Bordag πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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