Stable Complexes of Parametrically Driven, Damped Nonlinear Schrödinger Solitons

Since solitons of the parametrically driven damped nonlinear Schr\"odinger equation do not have oscillatory tails, it was suggested that they cannot form bound states. We show that this equation does support solitonic complexes, with the mechanism of their formation being different from the standard tail-overlap mechanism. One of the arising stationary complexes is found to be stable in a wide range of parameters, others unstable.