  We have considered cubic nonlinear Schr\"odinger equation along with
supersymmetric $\mathcal{PT}$ like potential and obtained exact stationary
solutions in terms of bright and brigh-dark interacting solitons. The
$\mathcal{PT}$ broken and $\mathcal{PT}$ unbroken regions are demonstrated also
depicted. Connected and disconnected stable regions of bright and dark solitons
are examined incorporating linear stability analysis validated by direct
numerical simulations. Moreover, the strength of stability has been illustrated
through excitations of bright and dark solitons.
