A Lagrangian description of the higher-order Painlevé equations

We derive the Lagrangians of the higher-order Painlevé equations using Jacobi’s last multiplier technique. Some of these higher-order differential equations display certain remarkable properties like passing the Painlevé test and satisfy the conditions stated by Juráš, thus allowing for a Lagrangian...

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Bibliographic Details
Published in:	Computational mathematics and mathematical physics Vol. 52; no. 5; pp. 746 - 755
Main Authors:	Ghose Choudhury, A., Guha, Partha, Kudryashov, N. A.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 01-05-2012 Springer Nature B.V
Subjects:	Applied mathematics Cauchy problems Computation Computational mathematics Computational Mathematics and Numerical Analysis Differential equations Inverse problems Lagrange multiplier Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Multipliers Ordinary differential equations Physics Studies Lagrangian Painlevé test Juráš conditions Higher-order Painlevé equation
Online Access:	Get full text
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Summary:	We derive the Lagrangians of the higher-order Painlevé equations using Jacobi’s last multiplier technique. Some of these higher-order differential equations display certain remarkable properties like passing the Painlevé test and satisfy the conditions stated by Juráš, thus allowing for a Lagrangian description.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0965-5425 1555-6662
DOI:	10.1134/S0965542512050089