Abstract:
The Noether symmetries and conserved quantities of the Whittaker equation on time scale were studied. With the help of internal connections between various mechanical systems, the Whittacker equation on time scale, after mechanization, is transformed into the Lagrange equation, the Hamilton equation in phase space or the generalized Birkhoff equation in general complete systems. Then, following the Noether theory, a generalized Noether equation was established to find conserved quantities. Finally, the conserved quantities obtained for the Whittacker equations with various mechanical functions are simulated and analyzed.