事件空间中变质量非完整系统的Lie对称性与守恒量

Lie Symmetry and Conserved Quantity of Variable Mass Nonholonomic Systems in Events Space

在事件空间中研究变质量非完整系统的Lie对称性与守恒量[1～3]的两类问题.一类是由Lie对称性求相应的守恒量,包括系统的运动方程,确定方程,限制方程,结构方程与守恒量等;另一类是由守恒量求出相应的Lie对称性.

In the event space of variable mass nonholonomic system of Lie symmetries and conserved quantities, two types of problems. Lie symmetry of a class of demand from the corresponding conserved quantities, including the system of equations of motion, determine the equation, the restriction equations, structural equations and conserved quantities, etc ; the other is calculated by the conserved quantities of the corresponding Lie symmetry.