  We investigate an attractive Bose-Einstein condensate in two coupled one
dimensional channels. In this system a stable double channel soliton can be
formed. It is symmetric for small interaction parameters and asymmetric for
large ones. We study this symmetry breaking phenomenon in detail. Next, we
investigate the dynamics of symmetric double channel soliton collisions. For
sufficiently strong interactions we observe spontaneous symmetry breaking
during the collision. Approximate considerations based on two different
methods, Bogoliubov and variational, are used to describe this effect. The
results are compatible.
