  In this paper, we present an analytical solution for the Bohr Hamiltonian
with the trigonometric P\"oschl Teller (P.T) potential in the cases of {\gamma}
unstable nuclei and {\gamma} stable axially symmetric prolate deformed ones
with {\gamma} = 0. The energy spectra and corresponding wave functions are
derived by means of the asymptotic iteration method. In addition, B(E2)
transition rates are calculated and compared with experimental data. Overall
good agreement is obtained for inter and intra band transitions within ground
state and \b{eta} bands. Our numerical results, particularly for transition
rates are much closer to experimental ones in comparison with those obtained by
Davidson and Kratzer potentials which are widely used in the literature.
