In this study, they have made significant progress in controlling self-steepening solitons governed by the modified nonlinear Schrödinger (MNLS) equation. These solitons are crucial for fiber optic communication, but they undergo both a position shift and an amplitude increase during their propagation. This inherent instability hinders their effectiveness in practical applications. The study demonstrates that incorporating a periodic PT-symmetric potential into the MNLS equation significantly improves soliton behavior. This approach effectively suppresses both the position shift and amplitude increase, leading to more stable soliton propagation. This breakthrough paves the way for enhanced performance in fiber optic communication systems, relying on these robust solitons for clearer and more reliable data transmission.

https://doi.org/10.1016/j.chaos.2024.115125