title: Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems.
abstract: 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 gray 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 π/N for N flavors.
authors.affiliation: Department of Basic Science, The University of Tokyo, Tokyo 153-8902, Japan. takahashi@vortex.c.u-tokyo.ac.jp
authors.forename: Daisuke A
authors.initials: DA
authors.lastname: Takahashi
authors.forename: Muneto
authors.initials: M
authors.lastname: Nitta