  The striped state of ultracold bosons with Rashba spin-orbit coupling in a
homogeneous infinite system has, as we show, a constant particle flow, which in
a finite-size system would accumulate particles at the boundaries; it is thus
not a physical steady state of the system. We propose, as a variational ansatz,
a condensate wave function for a weakly trapped system which behaves similarly
to the striped state near the center, but does not have particle flow at the
boundaries. This state has a line of unquantized coreless vortices. We show, by
minimizing the total energy, that our modified striped state has lower energy
than the conventional striped state and it is thus a physically appropriate
starting point to analyze striped states in finite systems.
