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Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schr?dinger Equation |
| Qi-Hao Cao and Chao-Qing Dai* |
| College of Optical, Mechanical and Electrical Engineering, Zhejiang A&F University, Lin'an 311300, China |
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| Cite this article: |
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Qi-Hao Cao and Chao-Qing Dai 2021 Chin. Phys. Lett. 38 090501 |
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Abstract The fractional second- and third-order nonlinear Schrödinger equation is studied, symmetric and antisymmetric soliton solutions are derived, and the influence of the Lévy index on different solitons is analyzed. The stability and stability interval of solitons are discussed. The anti-interference ability of stable solitons to the small disturbance shows a good robustness.
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Received: 14 July 2021
Published: 02 September 2021
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| PACS: |
05.45.Yv
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(Solitons)
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.81.Dp
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(Propagation, scattering, and losses; solitons)
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| Fund: Supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LR20A050001), the National Natural Science Foundation of China (Grant No. 12075210), and the Scientific Research and Developed Fund of Zhejiang A&F University (Grant No. 2021FR0009). |
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