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Pure–quartic optical solitons and modulational instability analysis with cubic–quintic nonlinearity

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  • Soltani, Mourad
  • Triki, Houria
  • Azzouzi, Faiçal
  • Sun, Yunzhou
  • Biswas, Anjan
  • Yıldırım, Yakup
  • Alshehri, Hashim M.
  • Zhou, Qin

Abstract

We analyze the propagation dynamics of intense light pulses in an optical medium exhibiting cubic–quintic nonlinearity and pure fourth-order dispersion. We show that this physical system may support a rich variety of periodic wave solutions in the presence of all physical processes. Interestingly, in the long-wave limit, two different types of quartic dark solitons with equal amplitudes and wave numbers but different widths are identified for the first time. The obtained dark soliton solutions are shown to be independent of any free parameters and their characteristics are uniquely determined by system parameters. The numerical examples are presented for illustrating the soliton evolution dynamics in the waveguiding system. The formation of these quartic dark solitons occurs in normal pure fourth-order dispersion when the quintic and cubic nonlinearities are competitive. The modulational instability of a continuous wave is also analyzed under the combined effects of quartic dispersion and cubic–quintic nonlinearities. Additionally, the role of quintic nonlinearity and fourth-order dispersion effects on the modulational instability has been discussed.

Suggested Citation

  • Soltani, Mourad & Triki, Houria & Azzouzi, Faiçal & Sun, Yunzhou & Biswas, Anjan & Yıldırım, Yakup & Alshehri, Hashim M. & Zhou, Qin, 2023. "Pure–quartic optical solitons and modulational instability analysis with cubic–quintic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001133
    DOI: 10.1016/j.chaos.2023.113212
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    References listed on IDEAS

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    1. Zhou, Qin & Triki, Houria & Xu, Jiakun & Zeng, Zhongliang & Liu, Wenjun & Biswas, Anjan, 2022. "Perturbation of chirped localized waves in a dual-power law nonlinear medium," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Andrea Blanco-Redondo & C. Martijn de Sterke & J.E. Sipe & Thomas F. Krauss & Benjamin J. Eggleton & Chad Husko, 2016. "Pure-quartic solitons," Nature Communications, Nature, vol. 7(1), pages 1-9, April.
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