  We provide the time evolutions of the linear and nonlinear coherent states
for several systems characterized by different energy spectra, and we identify
the regions in the parameter space where these systems behave closer to the
classical systems. The Morse system is algebraically found within the frame of
generalized Heisenberg algebra(GHA). We demonstrate that this system is
described by a nilpotency condition. Then, we propose a construction of
coherent states for the Morse oscillator.
