摘要
研究变质量完整系统的Ｌｉｅ对称和守恒量·利用常微分方程在无限小变换下的不变性建立系统Ｌｉｅ对称的确定方程·给出结构方程和守恒量·举例说明结果的应用
In this paper, the Lie symmetries and the conserved quantities of the holonomic variable mass systems are studied. By using the invariance of the ordinary differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries of the systems are established, and the structure equation and the conserved quantities are given. And an example is given to illustrate the application of the result.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第6期592-596,共5页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
分析力学
守恒量
李对称
变质量完整系统
analytical mechanics
variable mass
Lie symmetry
conserved quantity
