Asymmetric moving localized structures in a wide-aperture nonlinear interferometer

The existence of a branch of asymmetric solitary localized radiation structures moving in the transverse direction with a constant velocity is demonstrated for the slit (transversely one-dimensional) scheme of a wide-aperture interferometer with a threshold nonlinearity which is excited by external coherent radiation. This branch is shown to split off the branch of symmetric motionless structures at a certain bifurcation value of the external-radiation intensity. The generalization to other schemes, for which the existence of dissipative optical solitons is known, is discussed.