Power Geometry and Elliptic Expansions of Solutions to the Painlevé Equations
Author
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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 we develop 3D Power Geometry and apply it for calculation power-elliptic expansions of solutions to anODE.
Among them we select regular power-elliptic expansions and give a survey of all such expansions in solutions of the Painlevé equations P 1 , … , P 6 .
American Psychological Association (APA)
Bruno, Alexander D.. 2015. Power Geometry and Elliptic Expansions of Solutions to the Painlevé Equations. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1065502
Modern Language Association (MLA)
Bruno, Alexander D.. Power Geometry and Elliptic Expansions of Solutions to the Painlevé Equations. International Journal of Differential Equations No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1065502
American Medical Association (AMA)
Bruno, Alexander D.. Power Geometry and Elliptic Expansions of Solutions to the Painlevé Equations. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1065502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065502