Nambu力学系统的Lie对称性及其守恒量

Lie symmetry and conserved quantities of Nambu mechanical systems

讨论了Nambu力学系统的Lie对称性;建立了系统Lie对称性的确定方程;得到了该对称性引起的守恒量;研究了Lie对称性逆问题.并以Euler方程为例说明了本文的主要结果.

In this article,Lie symmetry of Nambu mechanical systems is discussed and its determining equations are established.Consequently,the structure equation and the associated conserved quantities are obtained.The inverse problem of Lie symmetries of the systems is also studied.As an example,Euler equations are used to illustrate the application of the main results.