Controlled excitation of multimodal soliton pulses in dispersion-decaying optical fibers

The investigation of mechanisms for the controlled excitation and modulation of localized optical field structures remains a pivotal theme in nonlinear optics. This study synergizes similarity transformations with the Darboux transformation to derive exact analytical solutions for dispersion-decaying fiber systems. Leveraging these solutions, the dynamic evolution of multi-configurational rogue wave signals within such fibers is systematically elucidated, unveiling the intricate processes underlying nonlinear localized waveform transformations. It is demonstrated that by tailoring the topological configuration of the initial rogue wave, a diverse array of soliton pulses can be deftly excited, encompassing W-shaped solitons, double-peaked solitons, double W-shaped solitons, paired dark-anti-dark solitons, triple W-shaped solitons, and triple-peaked solitons. This novel approach, predicated upon the rogue wave evolution trajectory, transcends the conventional constraints of parameter modulation, thereby offering an innovative paradigm for optical soliton manipulation. The resultant heterogeneous soliton architectures exhibit considerable promise for optical information transmission: dark solitons, with their robust interference resistance, are ideal for high-fidelity optical communication systems; multi-peak solitons’ temporal modulation capabilities facilitate the construction of all-optical logic switches; meanwhile, composite modes of distinct soliton morphologies provide pioneering optical sources for biomedical multimodal imaging. This work not only broadens the theoretical landscape of nonlinear localized wave phenomena but also lays a foundational framework for the advancement of novel photonic devices.