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

Eril Güray Çelik and Nalan Antar

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

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.

Keywords: Self-steepening; Modified nonlinear Schrödinger equation; Soliton; Higher-order effects; External potential; PT-symmetry (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006775

DOI: 10.1016/j.chaos.2024.115125

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