Dark gap solitons in bichromatic optical superlattices under cubic–quintic nonlinearities

We demonstrate the existence of two types of dark gap solitary waves-the dark gap solitons and the dark gap soliton clusters-in Bose-Einstein condensates trapped in a bichromatic optical superlattice with cubic-quintic nonlinearities. The background of these dark soliton families is different from the one in a common monochromatic linear lattice; namely, the background in our model is composed of two types of Gaussian-like pulses, whereas in the monochromatic linear lattice, it is composed of only one type of Gaussian-like pulses. Such a special background of dark soliton families is convenient for the manipulation of solitons by the parameters of bichromatic and chemical potentials. The dark soliton families in the first, second, and third bandgap in our model are studied. Their stability is assessed by the linear-stability analysis, and stable as well as unstable propagation of these gap solitons are displayed. The profiles, stability, and perturbed evolution of both types of dark soliton families are distinctly presented in this work.

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Publication Details

Journal
Chaos An Interdisciplinary Journal of Nonlinear Science
Published
2024-11-01
DOI
https://doi.org/10.1063/5.0232509
Citations
12
Primary Topic
Nonlinear Photonic Systems
Type
article
Field-Weighted Citation Impact
3.37

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article

Dark gap solitons in bichromatic optical superlattices under cubic–quintic nonlinearities

Danfeng Zhu, Dumitru Mihalache, Milivoj R. Belić, Jincheng Shi et al.
12 citations
Chaos An Interdisciplinary Journal of Nonlinear Science
Nonlinear Photonic Systems
3.37
article

Dark gap solitons in bichromatic optical superlattices under cubic–quintic nonlinearities

Danfeng Zhu, Dumitru Mihalache, Milivoj R. Belić, Jincheng Shi, Liangwei Zeng, Dingnan Deng, Shao‐Bin Qiu, Xing Zhu, Junbo Chen, Riwei Liao
article en
12 citations

Abstract

We demonstrate the existence of two types of dark gap solitary waves-the dark gap solitons and the dark gap soliton clusters-in Bose-Einstein condensates trapped in a bichromatic optical superlattice with cubic-quintic nonlinearities. The background of these dark soliton families is different from the one in a common monochromatic linear lattice; namely, the background in our model is composed of two types of Gaussian-like pulses, whereas in the monochromatic linear lattice, it is composed of only one type of Gaussian-like pulses. Such a special background of dark soliton families is convenient for the manipulation of solitons by the parameters of bichromatic and chemical potentials. The dark soliton families in the first, second, and third bandgap in our model are studied. Their stability is assessed by the linear-stability analysis, and stable as well as unstable propagation of these gap solitons are displayed. The profiles, stability, and perturbed evolution of both types of dark soliton families are distinctly presented in this work.

Chaos An Interdisciplinary Journal of Nonlinear ScienceVol. 34(11)
Fujian Normal University (CN), Jiaying University (CN), Centro de Estudios e Investigaciones Técnicas de Gipuzkoa (ES), Horia Hulubei National Institute for R and D in Physics and Nuclear Engineering (RO), FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic (CZ), Guangzhou Maritime College (CN), Hamad bin Khalifa University (QA)
National Natural Science Foundation of China, Qatar National Research Fund, Basic and Applied Basic Research Foundation of Guangdong Province
Openalex Percentile: Top 7%
Nonlinear Photonic Systems
3.37
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