Comparative robustness analysis of quadratic solitons and pure-quartic solitons

This study investigates the robustness of the quadratic and pure-quartic solitons within mode-locked fiber lasers subjected to white Gaussian noise disturbances. We assess the dynamic responses of both solitons under standardized noise conditions using a numerical simulation model. The results reveal that pure-quartic solitons exhibit enhanced robustness, stabilizing more rapidly after disturbances compared to quadratic solitons under the same condition. The superior robustness performance of pure-quartic soliton is mainly attributed to its higher emission energy, which mitigates the effects of noise-induced fluctuations. Notably, the differences in robustness between the two solitons diminish when their energies are equal, indicating energy as a crucial determinant of soliton stability. This research enhances our understanding of soliton behavior in noisy environments and offers insights into improving the design and performance of fiber lasers in optical communications and signal processing applications.