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In the framework of adiabatic perturbation theory and energy balance conditions, we analyze the possbility of stabilizing a breatherlike state (a bound state of two solitons with coinciding centers) in the damped (1+1)-dimensional cubic nonlinear Schr\"odinger equation by a two-frequency ac drive. The analytic predictions for the threshold of driving strengths above which a stable breather exists are in good agreement with those measured in numerical simulations.
Cai et al. (Tue,) studied this question.