Power Geometry and Elliptic Expansions of Solutions to the Painlevé Equations

We consider an ordinary differential equation (ODE) which can be written as a polynomial in variables and derivatives. Several types of asymptotic expansions of its solutions can be found by algorithms of 2D Power Geometry. They are power, power-logarithmic, exotic, and complicated expansions. Here...

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Bibliographic Details
Main Author: Alexander D. Bruno
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2015/340715
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