  A recent development in the derivation of soliton solutions for
initial-boundary value problems through Darboux transformations, motivated to
reconsider solutions to the nonlinear Schr\"odinger (NLS) equation on two
half-lines connected via integrable defect conditions. Thereby, the Darboux
transformation to construct soliton solutions is applied, while preserving the
spectral boundary constraint with a time-dependent defect matrix. In this
particular model, $N$-soliton solutions vanishing at infinity are constructed.
Further, it is proven that solitons are transmitted through the defect
independently of one another.
