Lagrangians For Equations of Painlevé Type by Means of The Jacobi Last Multiplier
- https://doi.org/10.1142/S1402925109000327How to use a DOI?
- Ordinary differential equations, equations of Painlevé type, Lagrangians, Jacobi Last Multiplier
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.
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Cite this article
TY - JOUR AU - G. D’ambrosi AU - M. C. Nucci PY - 2021 DA - 2021/01 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 - https://doi.org/10.1142/S1402925109000327 ID - D’ambrosi2021 ER -