Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes   and chiral Gross-Neveu systems
  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. 
Daisuke A. Takahashi and Muneto Nitta
cond-mat.supr-con cond-mat.quant-gas hep-ph hep-th