Non-integrability of the second Painleve equation as a Hamiltonian system
Dynamical Systems
2011-03-17 v1
Abstract
We prove non-existence of an additional rational integral for the second Painleve equation considered as a Hamiltonian system using Morales - Ramis theory.
Keywords
Cite
@article{arxiv.1103.2443,
title = {Non-integrability of the second Painleve equation as a Hamiltonian system},
author = {Tsvetana Stoyanova and Ognyan Christov},
journal= {arXiv preprint arXiv:1103.2443},
year = {2011}
}