| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630516 | Applied Mathematics and Computation | 2012 | 8 Pages |
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 [M. Juráš, The inverse problem of the calculus of variations for sixth- and eighth-order scalar ordinary differential equations, Acta Appl. Math. 66 (1) (2001) 25–39], thus allowing for a Lagrangian description.
► Higher order Painlevé equations are studied. ► Algorithm for constructing of Lagrangians for higher order Painlevé equations is presented. ► Lagrangians of higher order Painlevé equations are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Ghose Choudhury, Partha Guha, Nikolay A. Kudryashov,