Abstract:Coupled nonlinear Schrödinger equations (CNLS) with an external elliptic function potential model a quasi one-dimensional interacting two-component Bose-Einstein condensate trapped in a standing light wave. New families of stationary solutions of the CNLS with a periodic potential are presented and their stability studied by direct numerical simulations. Some of these solutions allow reduction to Manakov system. From a physical point of view these solutions can be interpreted as exact Bloch states at the edge … Show more
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