Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential

TL;DR

This paper demonstrates that a periodic PT-symmetric potential can stabilize self-steepening optical solitons in the modified nonlinear Schrödinger equation by suppressing amplitude growth and position shifts.

Contribution

It introduces a method to stabilize self-steepening solitons using a periodic PT-symmetric potential, addressing a key challenge in soliton dynamics.

Findings

Periodic PT-symmetric potential suppresses amplitude increase.

Potential stabilizes soliton position during evolution.

Self-steepening solitons remain stable in the modified NLS equation.

Abstract

We numerically investigate the existence and stability dynamics of self-steepening optical solitons in a periodic PT-symmetric potential. We show that self-steepening solitons of the modified nonlinear Schr\"odinger (MNLS) equation undergo a position shift and amplitude increase during their evolution in the MNLS equation. The stabilization of solitons by an external potential is a challenging issue. This study demonstrates that the suppression of both the amplitude increase and the position shift of self-steepening solitons can be achieved by adding a periodic PT-symmetric potential to the MNLS equation.