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The numerical solution of the second Painlevé equation

✍ Scribed by Mehdi Dehghan; Fatemeh Shakeri

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
307 KB
Volume
25
Category
Article
ISSN
0749-159X

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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