Manipulation of solitons in optical fiber experiments.

In nonlinear physics, the fundamental soliton has drawn significant attention due to its pivotal role in dynamic systems. Its remarkable property lies in maintaining shape and resilience when interacting with other nonlinear waves. We explore this phenomenon in the context of single-mode optical fibers, employing the one-dimensional nonlinear Schrödinger (1D-NLSE) equation, which yields distinct bound states of solitons. Our research focuses on the spatio-temporal dynamics within these bound states, demonstrating our ability to manipulate soliton velocity. We compare our findings with an Inverse Scattering Transform (IST) spectrum perturbation theory, decomposing the signal into solitonic components. Our experiments employ a Recirculating Optical Fiber Loop system and homodyne interferometric methods, enabling full characterization of the initial complex field. Our results showcase the robustness of the IST perturbation theory, even in the presence of perturbative higher-order effects