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Perturbation of chirped localized waves in a dual-power law nonlinear medium

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  • Zhou, Qin
  • Triki, Houria
  • Xu, Jiakun
  • Zeng, Zhongliang
  • Liu, Wenjun
  • Biswas, Anjan

Abstract

We investigate the transmission of localized waves through a dual-power law medium exhibiting the perturbations including the inter-modal dispersion, self-steepening, and self-frequency shift effects. A novel class of nonlinear waves that are periodic wave, kink soliton, algebraic soliton and bright soliton, along with the corresponding chirping, are reported. We found the nonlinear contribution chirp is proportional to n power of the light intensity, which is arising from the perturbations. Finally, the influence of degree of nonlinearity on the dynamical properties of the obtained chirped structures is presented.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004088
    DOI: 10.1016/j.chaos.2022.112198
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    References listed on IDEAS

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    1. Daoui, Abdel Kader & Messouber, Abdelouahab & Triki, Houria & Zhou, Qin & Biswas, Anjan & Liu, Wenjun & Alzahrani, Abdullah K. & Belic, Milivoj R., 2021. "Propagation of chirped periodic and localized waves with higher-order effects through optical fibers," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Susanto, Hadi & Malomed, Boris A., 2021. "Embedded solitons in second-harmonic-generating lattices," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Triki, Houria & Zhou, Qin & Liu, Wenjun & Biswas, Anjan & Moraru, Luminita & Yıldırım, Yakup & Alshehri, Hashim M. & Belic, Milivoj R., 2022. "Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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    2. Mann, Nikita & Rani, Setu & Kumar, Sachin & Kumar, Raj, 2024. "Novel closed-form analytical solutions and modulation instability spectrum induced by the Salerno equation describing nonlinear discrete electrical lattice via symbolic computation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 473-490.
    3. Zeng, Liangwei & Belić, Milivoj R. & Mihalache, Dumitru & Zhu, Xing, 2024. "Elliptical and rectangular solitons in media with competing cubic–quintic nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    4. 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).
    5. Chen, Liang-Yuan & Wu, Hong-Yu & Jiang, Li-Hong, 2024. "Ring-like two-breather structures of a partially nonlocal NLS system with different two-directional diffractions under a parabolic potential," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    6. Cao, Qi-Hao & Geng, Kai-Li & Zhu, Bo-Wei & Wang, Yue-Yue & Dai, Chao-Qing, 2023. "Scalar vortex solitons and vector dipole solitons in whispering gallery mode optical microresonators," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    7. Chen, Yi-Xiang, 2023. "Vector peregrine composites on the periodic background in spin–orbit coupled Spin-1 Bose–Einstein condensates," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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