商丘师范学院学报
商丘師範學院學報
상구사범학원학보
JOURNAL OF SHANGQIU TEACHERS COLLEGE
2015年
6期
39-43
,共5页
完整系统%Tzénoff方程%Lie对称性%共形不变性%守恒量
完整繫統%Tzénoff方程%Lie對稱性%共形不變性%守恆量
완정계통%Tzénoff방정%Lie대칭성%공형불변성%수항량
holonomic systems%Tzénoff equations%Lie symmetry%conformal invariance%conserved quantity
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。
通過完整繫統的Tzénoff方程,給齣瞭該繫統Tzénoff方程的Lie對稱性及其共形不變性的定義,研究瞭該繫統Tzénoff方程Lie對稱性的共形不變性及其守恆量,給齣瞭這種守恆量的函數錶達式和導齣這種守恆量的判據方程,最後給齣一箇應用實例。
통과완정계통적Tzénoff방정,급출료해계통Tzénoff방정적Lie대칭성급기공형불변성적정의,연구료해계통Tzénoff방정Lie대칭성적공형불변성급기수항량,급출료저충수항량적함수표체식화도출저충수항량적판거방정,최후급출일개응용실례。
By the Tzénoff equations of holonomic systems , the definitions of conformal invariance and conserved quantity of Lie symmetry for Tz énoff equations in holonomic systems are given .Conformal invariance and conserved quantity of Lie symmetry for Tz énoff 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 .