一类Painleve方程的Lagrange函数族

The families of Lagrangians of a Painleve equation

利用第一积分构造Lagrange函数的理论和方法,导出一类Painleve方程的两个Lagrange函数族,以及一些Lagrange函数和Hamilton函数.

By use of the method to construct the Lagrangian from the first integral, two families of Lagrangians and some Lagrangians and Hamiltonians are obtained for a class of Painleve equations.