Nonadiabatic dynamics of dark solitons

Summary form only given. In this Letter we revisit the problem of dark solitons evolution under small linear damping or amplification and show that dark solitons generate dispersive waves rather strongly, which leads to the formation of a shelf. To the best of our knowledge, this fact has not so far been examined in detail. The nonadiabatic behavior of dark solitons might imply that in this respect they are less stable than bright ones. We study the impact of this fact on possible dark soliton-based communication systems.