Impact of losses or gain on interaction of the NLSE solitons: the interplay between direct computer experimentation and the generalized Karpman–Solov’ev perturbation approach

Abstract

Using the complimentary interplay between direct computer experiments and the generalized Karpman–Solov’ev adiabatic soliton perturbation theory, we find remarkable empirical formulae describing completely, qualitatively and quantitatively, the impact of distributed losses and gain on the interaction scenarios of the NLSE solitons.