  We consider two coupled strongly correlated bosonic chains. We derive the
phase diagram of the pure system and obtain an antisymmetric charge density
wave, a 4k_F charge density wave, a superfluid phase and a second superfluid
phase which is a condensate of boson pairs. We consider the effect of a weak
disorder on that system and show that the superfluid phase is less localized
than in the one chain case. On the other hand, the pinning length of the
antisymmetric charge density wave is shorter than in the one chain case. We
discuss the consequences of these results for two coupled vortex planes with
columnar disorder. We show that in the vortex system there is a conventional
pinned solid phase for 0<T<T_m, a pinned solid phase with superkinks for
T_m<T<T_L and a vortex liquid for T>T_L. We obtain the critical currents by a
modified Larkin-Ovchinnikov argument and prove that there is a strong reduction
of critical current for T=T_m.
