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

被引：1

作者：

Shi, Shaoyun ^{[1
]}

Li, Wenlei ^{[1
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 10期

关键词：

2ND;

D O I：

10.1063/1.4826601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2013 AIP Publishing LLC.

引用

页数：9

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