Phenomenological equations of motion of dissipative optical solitons

Phenomenological equations of motion and rotation of “rigid” (with an invariable structure) asymmetric complexes of autosolitons in a homogeneous surroundings are proposed. These equations are shown to describe the curvilinear (circular) motion and the simultaneous rotation of the complexes that was earlier found numerically for asymmetric complexes of two-dimensional laser autosolitons.