Volume 16, Issue Supplement 1, December 2009, Pages 61 - 71
Lagrangians For Equations of Painlevé Type by Means of The Jacobi Last Multiplier
Authors
G. D’ambrosi, M. C. Nucci
Dipartimento di Matematica e Informatica, Università di Perugia, 06123 Perugia, Italy,nucci@unipg.it
Received 28 June 2009, Accepted 21 September 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925109000327How to use a DOI?
- Keywords
- Ordinary differential equations; equations of Painlevé type; Lagrangians; Jacobi Last Multiplier
- Abstract
We apply the method of Jacobi Last Multiplier to the fifty second-order ordinary differential equations of Painlevé type as given in Ince in order to obtain a Lagrangian and consequently solve the inverse problem of Calculus of Variations for those equations. The easiness and straightforwardness of Jacobi’s method is underlined.
- Copyright
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - G. D’ambrosi AU - M. C. Nucci PY - 2021 DA - 2021/01/07 TI - Lagrangians For Equations of Painlevé Type by Means of The Jacobi Last Multiplier JO - Journal of Nonlinear Mathematical Physics SP - 61 EP - 71 VL - 16 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000327 DO - 10.1142/S1402925109000327 ID - D’ambrosi2021 ER -