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Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities

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Abstract

This work demonstrates that non-parity-time-symmetric complex potentials can support continuous soliton families in competing cubic–quintic nonlinearities. We fix the defocusing cubic nonlinearity coefficient and vary the quintic nonlinearity coefficient. It is found that the quintic nonlinearity coefficient influences the soliton existence and stability areas significantly. When the quintic nonlinearity is focusing, both the single- and two-peak solitons are stable within a low power range. When this nonlinearity becomes defocusing, the existing and stabilizing domains of both soliton types broaden obviously. Above transition phase, the single-peak solitons can transmit stably within a moderate power area, but all two-peak solitons are unstable. Unique soliton propagation properties are found and the existence of the quintic nonlinearity also produces particular characteristics in the linear-stability spectra for these solitons.

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

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Funding

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11774068 and 62175042) and the Guangdong Province Education Department Foundation of China (Grant No. 2018KZDXM044).

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Authors and Affiliations

  1. School of Optoelectronic Engineering, Guangdong Polytechnic Normal University, Guangzhou, 510665, China

    Xing Zhu, Zhen Cai, Jinglin Liu, Shangwen Liao & Yingji He

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  1. Xing Zhu
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  2. Zhen Cai
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  3. Jinglin Liu
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Zhu, X., Cai, Z., Liu, J. et al. Spatial solitons in non-parity-time-symmetric complex potentials with competing cubic–quintic nonlinearities. Nonlinear Dyn 108, 2563–2572 (2022). https://doi.org/10.1007/s11071-022-07334-5

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