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Exact solutions of the fractional resonant nonlinear Schrödinger equation

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Abstract

In this study, we extend the resonant nonlinear Schrödinger equation with dual-power law nonlinearity to the fractional case. Consequently, novel exact solutions are derived. The properties of conformable fractional derivatives and fractional \(\left( {{{{G'} \over G}}} \right)\)-expansion method are employeed. The acquired solutions, constituting a novel contribution within the current literature, encompass bright solitons, dark solitons and singular solitons. These solutions prove to be of utmost importance in tackling specific optical issues. Ultimately, the results are elucidated via their corresponding graphical depictions.

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Funding

This study was partially supported by the National Key Project of the National Natural Science Foundation of China (Grant No. 72031009).

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Authors and Affiliations

  1. School of Science, Wuhan University of Science and Technology, Wuhan, 430065, Hubei, China

    Yongming Xu, Yuqiang Feng & Jun Jiang

  2. Hubei Province Key Laboratory of Systems Science in Metallurgicall Process, Wuhan, Hubei, China

    Yongming Xu, Yuqiang Feng & Jun Jiang

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  1. Yongming Xu
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  2. Yuqiang Feng
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  3. Jun Jiang
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Contributions

Y.X. and Y.F. directly participated in the planning and analysis of this study, while J.J. provided suggestions for modification and improvement. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Yuqiang Feng.

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Xu, Y., Feng, Y. & Jiang, J. Exact solutions of the fractional resonant nonlinear Schrödinger equation. Opt Quant Electron 55, 1208 (2023). https://doi.org/10.1007/s11082-023-05483-4

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