A Birkhoff-Noether method of solving differential equations

• 来源期刊: 中国物理（英文版）
• 关键词: differential equation Birkhoffian system Noether theory first integral
• 年，卷（期）: 2007,（2）
• 页码范围: 292-295
• 页数: 4页
• 语种: 英文

摘要

In this paper, a Birkhoff-Noether method of solving ordinary differential equations is presented. The differential equations can be expressed in terms of Birkhoff's equations. The first integrals for differential equations can be found by using the Noether theory for Birkhoffian systems. Two examples are given to illustrate the application of the method.