Localized Lie symmetries and conserved quantities for the finite-degree-of-freedom systems

• 来源期刊: 中国物理（英文版）
• 关键词: localized Lie symmetry infinite continuous group conservation law finite degree of freedom system
• 年，卷（期）: 2005,（1）
• 页码范围: 6-11
• 页数: 6页
• 语种: 英文

摘要

This paper focuses on the study of localized Lie symmetries under the infinitesimal transformation of an infinite continuous group for the finite-degree-of-freedom systems. Based on an invariance of differential equation under an infinitesimal transformation, we present the localized Lie symmetries including direct and inverse problems for the finite degree-of-freedom mechanical systems. We also give the definitions, determining equations, structural equation and conserved laws of localized Lie symmetries, and further, the Lie symmetries under the infinitesimal transformation of a finite continuous group derived from localized Lie symmetry. Finally, an example is discussed to illustrate these results.