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Different wave structures to the Chen–Lee–Liu equation of monomode fibers and its modulation instability analysis

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Abstract

The purpose of this study is to construct different optical soliton solutions to the Chen–Lee–Liu equation of monomode fibers by executing the extended sinh-Gordon equation expansion method, logarithmic transformation, and the ansatz functions method along with symbolic computation. Three waves method, double exponential, and homoclinic breather techniques are employed to obtain the soliton’s interaction phenomenon. The achieved optical soliton solutions are dark, bright, singular, and their combo forms. Moreover, kinky solitons, W-shaped, M-shaped, and multi-peak solitons are also retrieved. The modulation instability analysis of the governing equation is also discussed. The 3-D, contour, and 2-D profiles of some reported solutions are also drawn to visualize their dynamics by selecting appropriate values of involved parameters. The obtained outcomes show that the applied integration technique is concise, direct, efficient, and can be used in more complex phenomena with the assistant of symbolic computations.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ Comment: : The data that support the findings of this study are openly available in [Internet]. Note all the results that were deduced in this paper are original and new and were not published before in any paper and will be available in this paper after publication.]

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Acknowledgements

The authors would like to acknowledge the financial support for this research via the National Natural Science Foundation of China (11771407, 52071298) and ZhongYuan Science and Technology Innovation Leadership Program (214200510010). They also thank the reviewers for their valuable reviews and kind suggestions.

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Authors and Affiliations

  1. Henan Academy of Big Data/School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China

    Muhammad Bilal, Wencheng Hu & Jingli Ren

  2. Zhengzhou Key Laboratory of Low-dimensional Quantum Material and Devices, College of Science, Zhongyuan University of Technology, Zhengzhou, 450007, China

    Wencheng Hu

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  1. Muhammad Bilal
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Correspondence to Jingli Ren.

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Bilal, M., Hu, W. & Ren, J. Different wave structures to the Chen–Lee–Liu equation of monomode fibers and its modulation instability analysis. Eur. Phys. J. Plus 136, 385 (2021). https://doi.org/10.1140/epjp/s13360-021-01383-2

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