  In this manuscript, we investigate the influence of the Aharonov-Casher
effect on the generalized Dirac oscillator containing the Coulomb-type
potential function related to a relativistic neutral particle having a
permanent magnetic dipole moment interacting with the external electromagnetic
fields in (1+2)-dimensional cosmic string space-time. The eigenfunctions and
energy eigenvalues of such a Dirac oscillator are derived by using the
Nikifornov-Uvarov method. We indicate that implementing the scenario gives the
relativistic modified exact analytical solutions. In this way, we can see that
the degeneracy of the relevant relativistic energy eigenvalues is broken by
depending on the Coulomb strength parameter under the influence of the
curvature effect and the Aharonov-Casher effect.
