  Andreev-Bashkin drag plays a very important role in multiple areas like
superfluid mixtures, superconductors and dense nuclear matter. Here, we point
out that the drag phenomenon can be also important in physics of solitons,
ubiquitous objects arising in a wide array of fields ranging from tsunami waves
and fiber-optic communication to biological systems. So far, fruitful studies
were conducted in ultracold atomic systems where nontrivial soliton dynamics
occurred due to inter-component density-density interaction. In this work we
show that current-current coupling between components (Andreev-Bashkin drag)
can lead to a substantially different kind of effects, unsupported by
density-density interactions, such as a drag-induced dark soliton generation.
This also points out that soliton dynamics can be used as a tool to
experimentally study the dissipationless drag effect.
