  Bright and dark solitons of the cubic nonlinear Schrodinger equation are used
to construct complex-valued potentials with all-real spectrum. The real part of
these potentials is equal to the intensity of a bright soliton while their
imaginary part is defined by the product of such soliton with its concomitant,
a dark soliton. Considering light propagation in Kerr media, the real part of
the potential refers to the self-focusing of the signal and the imaginary one
provides the system with balanced gain-and-loss rates.
