Power geometry and elliptic expansions of solutions to the Painlevé equations

DOI10.1155/2015/340715zbMath1339.34063OpenAlexW2091964353WikidataQ59106910 ScholiaQ59106910MaRDI QIDQ274777

Alexander D. Bruno

Publication date: 25 April 2016

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/340715

zbMATH Keywords

asymptotic expansionPainlevé equations \(P_1, \ldots, P_6\)regular power-elliptic expansions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Weak nonlinear asymptotic solutions for the fourth order analogue of the second Painlevé equation ⋮ On complicated expansions of solutions to ODES

Cites Work

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• Asymptotic expansions of solutions of the sixth Painlevé equation
• Periodic solutions of the restricted three-body problem for a small mass ratio
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• An axisymmetric boundary layer on a needle

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