We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical lattice. When the nonlinear coupling strengths are equal, we use...

Square barrier initial potentials for the Ablowitz–Ladik (AL) lattice are considered, both in the single component as well as in the vector (Manakov) case. We determine the threshold condition for creating solitons with such initial conditions in these integrable, discrete versions of the...