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Multipole solitons in saturable nonlinear lattices

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Abstract

We demonstrate that both fundamental and multipole soliton families can be generated and stabilized in purely saturable nonlinear lattices, which can be readily realized in nonlinear optics or Bose–Einstein condensates. The waveforms and soliton power of these soliton families, produced in the nonlinear Schrödinger equation, are highly affected by the propagation constant and the strength of nonlinearity. In particular, the amplitude of solitons increases with the increase of the propagation constant, while it decreases with the increase of the strength of nonlinearity. We investigate in detail the stability of such solitons. Beside the perturbed propagation, the stable propagation with modulated parameters that can change during propagation, is also considered, e.g., the one with the modulation of the period of the nonlinear lattice and the other one with the modulation of the strength of saturation. It is verified that the rules of variation for all soliton families are consistent with the ones for modulated parameters.

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The datasets generated during and analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

National Major Instruments and Equipment Development Project of National Natural Science Foundation of China (61827815); National Natural Science Foundation of China (12174264, 62075138); Natural Science Foundation of Guangdong Province (2021A1515011909); Science and Technology Project of Shenzhen (JCYJ20190808121817100, JCYJ201908 08164007485, JSGG20191231144201722); Natural Science Foundation of Shenzhen University (2019007); Qatar National Research Fund (NPRP-S11-1126-170033); Meizhou City Social Development Science and Technology Plan Project (2021B127).

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Authors and Affiliations

  1. Shenzhen Key Laboratory of Micro-Nano Photonic Information Technology, Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen, 518060, China

    Liangwei Zeng, Hu Long, Xiaowei Lu, Yi Cai & Jingzhen Li

  2. 54th Research Institute of CETC, Shijiazhuang, 050011, China

    Jincheng Shi

  3. Texas A &M University at Qatar, 23874, Doha, Qatar

    Milivoj R. Belić

  4. Horia Hulubei National Institute of Physics and Nuclear Engineering, 077125, Magurele, Bucharest, Romania

    Dumitru Mihalache

  5. School of Physics and Electronic Engineering, Jiaying University, Meizhou, 514015, China

    Junbo Chen

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  1. Liangwei Zeng
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Zeng, L., Shi, J., Belić, M.R. et al. Multipole solitons in saturable nonlinear lattices. Nonlinear Dyn 111, 3665–3678 (2023). https://doi.org/10.1007/s11071-022-07988-1

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