  In this paper, we solve the eigenvalues and eigenvectors problem with Bohr
collective Hamil- tonian for triaxial nuclei. The ? beta part of the collective
potential is taken to be equal to Hulth?en potential while the gamma part is
defined by a new generalized potential obtained from a ring shaped one.
Analytical expressions for spectra and wave functions are derived by means of a
recent version of the asymptotic iteration method and the usual approximations.
The calculated energies and B(E2) transition rates are compared with
experimental data and the available theoretical results in the literature.
