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Study on propagation properties of fractional soliton in the inhomogeneous fiber with higher-order effects

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Abstract

This paper investigates a coupled higher-order variable-coefficient nonlinear Schrödinger equation, which may have some prospective applications in optical fiber communications. We present a modified Kudryashov method, which can be successfully applied to the fractional variable-coefficient equations with the modified Riemann–Liouville fractional derivative and obtain the soliton solution. The double-hump solitons and multi-soliton solutions are given via the Hirota bilinear method. Furthermore, we study the interaction of solitons by dynamical analysis and consider some important physical quantities. The relationship between the dynamical structure of the solitons and the certain parameters in the fractional nonlinear optical system is given by analyzing the analytical expressions and the dynamical images of the exact solutions. The results of this paper are helpful in promoting the study of fractional nonlinear optical systems and have theoretical guidance for optical communication in inhomogeneous optical fibers.

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Funding

This work was supported by the National Key R &D Program of China (Grant 2022YFA1604200), National Natural Science Foundation of China (Grant 11975001, 12075034) 12261131495), the Beijing Natural Science Foundation (Nos. JQ21019), and the Hebei Key Laboratory of Physics and Energy Technology under (Grant HBKLPET2023_03).

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  1. State Key Laboratory of Information Photonics and Optical Communications, School of Science Organization Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Muwei Liu, Haotian Wang, Hujiang Yang & Wenjun Liu

  2. Hebei Key Laboratory of Physics and Energy Technology Organization North China Electric Power University, Baoding, 071000, China

    Wenjun Liu

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  1. Muwei Liu
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Liu, M., Wang, H., Yang, H. et al. Study on propagation properties of fractional soliton in the inhomogeneous fiber with higher-order effects. Nonlinear Dyn 112, 1327–1337 (2024). https://doi.org/10.1007/s11071-023-09099-x

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