  We explore in detail the possibility of generating a pair-coherent state in
the non-degenerate parametric oscillator when decoherence is included. Such
states are predicted in the transient regime in parametric oscillation where
the pump mode is adiabatically eliminated. Two specific signatures are examined
to indicate whether the state of interest has been generated, the Schrodinger
cat state - like signatures, and the fidelity. Solutions in a transient regime
reveal interference fringes which are indicative of the formation of a
Schrodinger cat state. The fidelity indicates the purity of our prepared state
compared to the ideal pair-coherent state.
