力学中单参数变换群的应用  

Application of One-Parameter Groups of Transformation in Mechanics

作　　者：许学咨[1] 陈怀永[1] 

机构地区：[1]浙江大学

出　　处：《应用数学和力学》1990年第7期635-642,共8页Applied Mathematics and Mechanics

摘　　要：本文包括无限小形式的变换群用于减少偏微分方程中的自变量,获得相似变量的理论,以及它在力学中具有两个自变量、两个因变量的非线性偏微分方程组中的应用。In this paper, including some partial differential equations with a number of independent variables, which can be reduced by the infinitesimal form of the group, we obtain the theory of similarity transformation and its application of the second order nonlinear partial differential equations which have two independent variables and two dependent variables in mechanics.

关 键 词：力学 单参数变换群 偏微分方程 

分 类 号：O302[理学—力学]