论文标题
汉密尔顿非阿布尔潘勒维类型系统的分类
Classification of Hamiltonian non-abelian Painlevé type systems
论文作者
论文摘要
$ {\ rm {p}} _ {1} - {\ rm {p}} _ {6} $ type带有常数系数的所有汉密尔顿非阿贝尔·帕恩维尔vé系统。对于$ {\ rm {p}} _ {1} - {\ rm {p}} _ {5} $ systems，我们用非亚洲常数替换了一个适当的内心常数参数。为了证明新$ {\ rm {p}} _ {3}^{\ prime} $和$ {\ rm {p}} _ {5} $ systems的集成性，我们为他们找到Isomonodromic lax pairs。
All Hamiltonian non-abelian Painlevé systems of ${\rm{P}}_{1}-{\rm{P}}_{6}$ type with constant coefficients are found. For ${\rm{P}}_{1}-{\rm{P}}_{5}$ systems, we replace an appropriate inessential constant parameter with a non-abelian constant. To prove the integrability of new ${\rm{P}}_{3}^{\prime}$ and ${\rm{P}}_{5}$ systems thus obtained, we find isomonodromic Lax pairs for them.
