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 de-terministic equation of the system is given,the structural equation is established,and the corresponding conserved quantities are gained.
维普
万方数据