Abstract
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.
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Ghose Choudhury, A., Guha, P. & Kudryashov, N.A. A Lagrangian description of the higher-order Painlevé equations. Comput. Math. and Math. Phys. 52, 746–755 (2012). https://doi.org/10.1134/S0965542512050089
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DOI: https://doi.org/10.1134/S0965542512050089