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Dark solitons in purely quintic nonlinear lattices with defects

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  • Zhu, Xing
  • Belić, Milivoj R.
  • Mihalache, Dumitru
  • Li, Jiawei
  • Zeng, Liangwei

Abstract

We demonstrate that two types of dark soliton families can be sustained in purely quintic nonlinear lattices with defects, namely on-site and off-site solitons. These solitons are classified based on whether their centers are located at lattice defects (on-site) or away from them (off-site). We analyze dark solitons in nonlinear lattices, where the lattice and defects are imprinted on an intensity background. Notably, the stability domains of off-site dark solitons are significantly larger than those of on-site solitons. In this work, we study the off-site dark solitons interacting with both short and long defects. Additionally, we investigate solitons in lattices containing one or two defects, either short or long. The stability domains of both on-site and off-site dark solitons are determined by the linear stability analysis and verified by numerical simulations.

Suggested Citation

  • Zhu, Xing & Belić, Milivoj R. & Mihalache, Dumitru & Li, Jiawei & Zeng, Liangwei, 2025. "Dark solitons in purely quintic nonlinear lattices with defects," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p1:s0960077925009968
    DOI: 10.1016/j.chaos.2025.116983
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    References listed on IDEAS

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    1. Zeng, Liangwei & Mihalache, Dumitru & Malomed, Boris A. & Lu, Xiaowei & Cai, Yi & Zhu, Qifan & Li, Jingzhen, 2021. "Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Jason W. Fleischer & Mordechai Segev & Nikolaos K. Efremidis & Demetrios N. Christodoulides, 2003. "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature, Nature, vol. 422(6928), pages 147-150, March.
    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).
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