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

Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems