商丘师范学院学报
商丘師範學院學報
상구사범학원학보
JOURNAL OF SHANGQIU TEACHERS COLLEGE
2011年
12期
17-21
,共5页
变质量完整系统%Tzénoff方程%Lie对称%守恒量
變質量完整繫統%Tzénoff方程%Lie對稱%守恆量
변질량완정계통%Tzénoff방정%Lie대칭%수항량
variable mass holonomic system%Tzénoff equations%Lie symmetries%conserved quantities
研究了变质量完整力学系统Tzénoff方程的Lie对称性及其所导出的守恒量,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,最后举例说明了研究结果的应用.
研究瞭變質量完整力學繫統Tzénoff方程的Lie對稱性及其所導齣的守恆量,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,最後舉例說明瞭研究結果的應用.
연구료변질량완정역학계통Tzénoff방정적Lie대칭성급기소도출적수항량,급출료저충수항량적함수표체식화도출저충수항량적판거방정,최후거례설명료연구결과적응용.
Lie symmetries of Tzénoff equations for the variable mass holonomic system and conserved quantities derived from that are researched.The function expressions of conserved quantities and the criterion equations which deduce these conserved quantities are presented.Finally,the application of the new result is showed by a practical example.