时间尺度上非迁移Emden方程的Lie对称性与守恒量  

Nonshifted Emden equations on time scales Lie symmetry and conserved quantities

作　　者：舒莲莲 朱建青 SHU Lianlian;ZHU Jianqing(School of Mathematical Sciences,SUST,Suzhou 215009,China)

机构地区：[1]苏州科技大学数学科学学院,江苏苏州215009

出　　处：《苏州科技大学学报（自然科学版）》2024年第1期29-35,共7页Journal of Suzhou University of Science and Technology（Natural Science Edition）

基　　金：国家自然科学基金项目(11572212,11972241);江苏省自然科学基金项目(BK20191454)。

摘　　要：研究时间尺度上非迁移Emden方程的Lie对称性与守恒量。取得时间尺度上非迁移Emden方程力学函数,由力学体系的内在关联,Emden方程可表示为时间尺度上非迁移Lagrange方程、相空间Hamilton方程及广义Birkhoff方程;根据Lie理论,给出系统的确定方程,建立结构方程,得到相应守恒量。This study explores the Lie symmetries and conserved quantities of nonshifted Emden equations on time scale.The mechanical function of nonshifted Emden equation on time scale is obtained.According to the internal correlation of mechanical system,Emden equations can be expressed as nonshifted Lagrange equation,Hamilton equation in phase space and generalized Birkhoff equation on time scale.In light of Lie theory,the deterministic equation of the system is given,the structural equation is established,and the corresponding conserved quantities are gained.

关 键 词：非迁移 时间尺度 Emden方程 LIE对称性 

分 类 号：O316[理学—一般力学与力学基础]