论文标题
具有广义冈本积分的非亚伯式Painlevé系统
Non-abelian Painlevé systems with generalized Okamoto integral
论文作者
论文摘要
我们研究了非亚伯式的Painlevé类型系统。为了得出它们，我们引入了一个具有冷冻自动变量的辅助自主系统，并在存在非阿布莱人的第一个积分的意义上假定其集成性，该积分概括了俄克拉荷马托汉密尔顿官。都发现所有具有此类积分的非亚洲P6-P2系统。为这些非亚洲Painlevé系统构建了合并限制方案。这使我们能够为它们构建一个异构肉质瘤对。
We study non-abelian systems of Painlevé type. To derive them, we introduce an auxiliary autonomous system with the frozen independent variable and postulate its integrability in the sense of the existence of a non-abelian first integral that generalizes the Okamoto Hamiltonian. All non-abelian P6-P2-systems with such integrals are found. A coalescence limiting scheme is constructed for these non-abelian Painlevé systems. This allows us to construct an isomonodromic Lax pair for each of them.
