Bound State Solutions of Schroedinger Equation for Generalized Morse Potential with Position-Dependent Mass

The effective mass one-dimensional Schrdinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are a/so reduced to the constant mass case. Energy eigenvalues are computed numerically for some diatomic molecules. They are in agreement with the ones obtained before.