  We exhaust all exact self-consistent solutions of complex-valued fermionic
condensates in the 1+1 dimensional Bogoliubov-de Gennes and chiral Gross-Neveu
systems under uniform boundary conditions. We obtain $n$ complex (twisted)
kinks, or grey solitons, with $2n$ parameters corresponding to their positions
and phase shifts. Each soliton can be placed at an arbitrary position while the
self-consistency requires its phase shift to be quantized by $\pi/N$ for $N$
flavors.
