@article{oai:nagasaki-u.repo.nii.ac.jp:00000933, author = {Murata, Yoshihiro}, journal = {長崎大学経済学部研究年報, Annual review of economics}, month = {Jun}, note = {In this article, we investigate Lagrangians of Painleve equations. As is well known, Painleve equations can be rewritten into Painleve systems which are Hamiltonian systems. So we have a simple question that Painleve equations have Euler-Lagrange equation forms or not. The answer is Yes. Painleve equations are themselves Euler-Lagrange equations. We prove this fact and give Lagrangians of Painleve equations., 長崎大学経済学部研究年報, 36, pp.125-130; 2020}, pages = {125--130}, title = {Lagrangians of Painleve equations}, volume = {36}, year = {2020} }