中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3647-3650.doi: 10.1088/1674-1056/18/9/007
吴惠彬1, 吴润衡2
Wu Hui-Bin(吴惠彬)a)† and Wu Run-Heng(吴润衡)b)
摘要: The purpose of this paper is to provide a new method called the Lagrange--Noether method for solving second-order differential equations. The method is, firstly, to write the second-order differential equations completely or partially in the form of Lagrange equations, and secondly, to obtain the integrals of the equations by using the Noether theory of the Lagrange system. An example is given to illustrate the application of the result.
中图分类号: (Partial differential equations)