【摘要】 研究环面Ｔ２上只有一个正则奇点的Ｆｕｃｈｓ方程．得到了参数λ＝６时，方程有一个椭圆函数解，其任何解皆为半纯函数，以及方程的单值群为可解群的结果．在此基础上，将Ｒｉｅｍａｎｎ球面上Ｆｕｃｈｓ方程的可积性概念推广到环面上，并得到一系列环面Ｆｕｃｈｓ方程都是可积的结果．更多还原

【Abstract】 A class of Fuchsian equations on the torns T2 is studied. In the case of parameter λ=6,there exists an elliptic function solution,each solution of which is a meromorphic function, and it’s monodromy group is soluable.Soluability of the monodromy groups is used to define the integrablity for Fuchsian equations on the torns T2,and in this sense,these equations are integrable for a serie of parameters.更多还原