2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24473We analyze a superfluid state of two species gas of fermions trapped in a quasi-1D harmonic potential and interacting via attractive s-wave collisions. It is shown that the gap equation posesses a self consistent solution with an antisymmetric gap function. The gap function has a localized soliton or kink in the center of the trap.4 pages in RevTex + 4 .eps figuresMesoscale and Nanoscale PhysicsSoft Condensed MatterSoliton in BCS superfluid Fermi gastext