| 时间尺度上Nielsen方程的Mei对称性与守恒量 |
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| 引用本文： | 舒莲莲,朱建青.时间尺度上Nielsen方程的Mei对称性与守恒量[J].华中师范大学学报(自然科学版),2022,56(2):245-249. |
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| 作者姓名： | 舒莲莲 朱建青 |
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| 作者单位： | (苏州科技大学数学科学学院， 江苏 苏州 215009) |
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| 基金项目： | 国家自然科学基金项目(11572212,11972241)；;江苏省自然科学基金项目(BK20191454)； |
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| 摘 要： | 该文研究了时间尺度上Nielsen方程的Mei对称性与守恒量.由链式法则建立时间尺度上单自由度的Nielsen运动微分方程;给出Nielsen方程的Mei对称性的定义和判据,得到守恒量;文末举例说明结果的应用.
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| 关 键 词： | 链式法则 Nielsen方程 时间尺度 Mei守恒量 |
| 收稿时间： | 2022-04-07 |
Mei symmetries and conserved quantities of Nielsen equations on time scales |
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| SHU Lianlian,ZHU Jianqing.Mei symmetries and conserved quantities of Nielsen equations on time scales[J].Journal of Central China Normal University(Natural Sciences),2022,56(2):245-249. |
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| Authors: | SHU Lianlian ZHU Jianqing |
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| Institution: | (Science of Mathematics College， Suzhou University of Science and Technology， Suzhou 215009， Jiangsu， China) |
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| Abstract: | Mei symmetries and conserved quantities of Nielsen equations on time scale are studied. Firstly， the Nielsen differential equations of motion with one degree of freedom on the time scale are established by the chain rule. Secondly， conserved quantities are derived from the definition and criterion of Mei symmetry of Nielsen equation. Finally， the application with examples is illustrated at the end of this paper. |
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| Keywords: | the chain rule Nielsen equation time scales Mei conserved quantities |
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