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完整系统Tzénoff方程Lie对称性的共形不变性与守恒量
Conformal invariance and conserved quantity of Lie symmetry for Tzénoff equations in holonomic systems
【摘要】 通过完整系统的Tzénoff方程,给出了该系统Tzénoff方程的Lie对称性及其共形不变性的定义,研究了该系统Tzénoff方程Lie对称性的共形不变性及其守恒量,给出了这种守恒量的函数表达式和导出这种守恒量的判据方程,最后给出一个应用实例.
【Abstract】 By the Tzénoff equations of holonomic systems,the definitions of conformal invariance and conserved quantity of Lie symmetry for Tzénoff equations in holonomic systems are given. Conformal invariance and conserved quantity of Lie symmetry for Tzénoff equations in the systems are studied. The function expressions of conserved quantities and the criterion equations which deduce the conserved quantities are obtained. Finally,an example is given to illustrate the application of the result.
【关键词】 完整系统;
Tzénoff方程;
Lie对称性;
共形不变性;
守恒量;
【Key words】 holonomic systems; Tzénoff equations; Lie symmetry; conformal invariance; conserved quantity;
【Key words】 holonomic systems; Tzénoff equations; Lie symmetry; conformal invariance; conserved quantity;
【基金】 国家自然科学基金资助项目(11372169)
- 【文献出处】 商丘师范学院学报 ,Journal of Shangqiu Normal University , 编辑部邮箱 ,2015年06期
- 【分类号】O316
- 【被引频次】4
- 【下载频次】31