%0 Journal Article
%T A Lagrangian Description of the Higher-Order Painlev¨¦ Equations
%A A. Ghose Choudhury
%A Partha Guha
%A Nikolai A. Kudryashov
%J Physics
%D 2012
%I arXiv
%R 10.1134/S0965542512050089
%X We derive the Lagrangians of the higher-order Painlev\'e equations using Jacobi's last multiplier technique. Some of these higher-order differential equations display certain remarkable properties like passing the Painlev\'e test and satisfy the conditions stated by Jur\'a$\check{s}$, (Acta Appl. Math. 66 (2001) 25--39), thus allowing for a Lagrangian description.
%U http://arxiv.org/abs/1201.3703v1