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

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  • Çelik, Eril Güray
  • Antar, Nalan

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.

Suggested Citation

  • Çelik, Eril Güray & Antar, Nalan, 2024. "Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006775
    DOI: 10.1016/j.chaos.2024.115125
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    References listed on IDEAS

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    1. Nalan Antar, 2014. "Pseudospectral Renormalization Method for Solitons in Quasicrystal Lattice with the Cubic-Quintic Nonlinearity," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-17, September.
    2. Zhu, Bo-Wei & Fang, Yin & Liu, Wei & Dai, Chao-Qing, 2022. "Predicting the dynamic process and model parameters of vector optical solitons under coupled higher-order effects via WL-tsPINN," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Alois Regensburger & Christoph Bersch & Mohammad-Ali Miri & Georgy Onishchukov & Demetrios N. Christodoulides & Ulf Peschel, 2012. "Parity–time synthetic photonic lattices," Nature, Nature, vol. 488(7410), pages 167-171, August.
    4. Göksel, İzzet & Antar, Nalan & Bakırtaş, İlkay, 2018. "Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 83-89.
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