  Using ladder operators for the non-linear oscillator with position-dependent
effective mass, realization of the dynamic group SU(1,1) is presented. Keeping
in view the algebraic structure of the non-linear oscillator, coherent states
are constructed using Barut-Girardello formalism and their basic properties are
discussed. Furthermore, the statistical properties of these states are
investigated by means of Mandel parameter and second order correlation
function. Moreover, it is shown that in the harmonic limit, all the results
obtained for the non-linear oscillator with spatially varying mass reduce to
corresponding results of the linear oscillator with constant mass.
