A Lagrangian Description of the Higher-Order Painlev\'e Equations
Exactly Solvable and Integrable Systems
2015-06-03 v1
Abstract
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, (Acta Appl. Math. 66 (2001) 25--39), thus allowing for a Lagrangian description.
Keywords
Cite
@article{arxiv.1201.3703,
title = {A Lagrangian Description of the Higher-Order Painlev\'e Equations},
author = {A. Ghose Choudhury and Partha Guha and Nikolai A. Kudryashov},
journal= {arXiv preprint arXiv:1201.3703},
year = {2015}
}
Comments
16 pages, to be published in Applied Mathematics and Computation