一类Painleve方程的Lagrange函数族

物理学报

丁光涛. 2012: 一类Painleve方程的Lagrange函数族, 物理学报, 61(11): 27-29.

引用本文:

丁光涛. 2012: 一类Painleve方程的Lagrange函数族, 物理学报, 61(11): 27-29.

2012: The families of Lagrangians of a Painleve equation, Acta Physica Sinica, 61(11): 27-29.

Citation:

2012: The families of Lagrangians of a Painleve equation, Acta Physica Sinica, 61(11): 27-29.

The families of Lagrangians of a Painleve equation

摘要: 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．
- Painleve方程 /
- 逆问题 /
- Lagrange函数族 /
- 第一积分
Abstract: 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.