  By applying the higher order Darboux algorithm to an exactly solvable non
Hermitian ${\cal{PT}}$ symmetric potential, we obtain a hierarchy of new
exactly solvable non Hermitian ${\cal{PT}}$ symmetric potentials with real
spectra. It is shown that the symmetry underlying the potentials so generated
and the original one is {\it nonlinear pseudo supersymmetry}. We also show that
this formalism can be used to generate a larger class of new solvable
potentials when applied to non Hermitian systems.
