Non-integrability of a class of Painleve IV equations as Hamiltonian systems

作者：Shi, Shaoyun; Li, Wenlei^*

来源：Journal of Mathematical Physics, 2013, 54(10): 102703.

DOI：10.1063/1.4826601

• 2ND

In this paper, we will prove the rational non-integrability of a class of Hamiltonian systems associated with Painleve IV equation by using Morales-Ramis theory and Kovacic's algorithm, which, to some extent, also implies the non-integrability of the fourth Painleve equation itself.

• 出版日期2013-10
• 单位吉林大学