Mei Symmetry and New Conserved Quantity of Tzenoff Equations for Holonomic Systems

A new conserved quantity is deduced from Mei symmetry of Tzenoff equations for holonomic systems. The expression of this new conserved quantity is given, and the determining equation to induce this new conserved quantity is presented. The results exhibit that this new method is easier to find more
conserved quantities than the previously reported ones. Finally, application
of this new result is presented by a practical example.