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

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 Schrödinger (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.

References in corpus (4)

• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation
• Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials
• Interplay of the pseudo-Raman term and trapping potentials in the nonlinear Schroedinger equation