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Nonlinear fiber optics with water wave flumes: dynamics of the optical solitons of the derivative nonlinear Schrödinger equation

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Abstract

In this paper, we presented a novel technique called extended modified auxiliary equation mapping technique, which we used to analyze the combined Chen–Lee–Liu derivative nonlinear Schrödinger equation (MCLL-NLSE) analytically. With the help of three parameters, we were able to use our proposed method to produce newer, broader sets of exact solutions, including bright, periodic, semi half bright, dark, combined, semi half dark, doubly periodic, doubly bright, half bright, and half dark. This is the main distinction between our method and others currently in use. To develop the theoretical fluid dynamics, nonlinear fiber optics, electromagnetism, mathematical physics, bio-mathematics, soliton dynamics, plasma physics, industrial studies, quantum mechanics, nuclear physics and many other natural and physical sciences has been greatly impacted by recently discovered solutions. We have presented the newly discovered solutions in graphs in various dimensions using Mathematica 10.4 to provide a better clear picture of the dynamic properties of the solutions. Additionally, we conducted stability tests on the obtained solutions and presented them as a table.

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The data that support the fndings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

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Funding

This work is supported by the National Natural Science Foundation of China (Grant No. 11801263).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hunan First Normal University, Changsha, 410205, China

    Chaohong Pan

  2. School of Mathematics and Physics, University of South China, Hengyang, 421001, China

    Chaohong Pan, Nadia Cheemaa & Wenbin Lin

  3. School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    Wenbin Lin

  4. Department of Mathematics, Firat University, 23119 Elazig, Turkey

    Mustafa Inc

  5. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey

    Mustafa Inc

  6. Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

    Mustafa Inc

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  1. Chaohong Pan
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  2. Nadia Cheemaa
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  3. Wenbin Lin
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  4. Mustafa Inc
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All authors contributed to the study conception and design. All authors read and approved the final manuscript.

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Pan, C., Cheemaa, N., Lin, W. et al. Nonlinear fiber optics with water wave flumes: dynamics of the optical solitons of the derivative nonlinear Schrödinger equation. Opt Quant Electron 56, 434 (2024). https://doi.org/10.1007/s11082-023-05985-1

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