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Innovative solutions and sensitivity analysis of a fractional complex Ginzburg–Landau equation

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Abstract

In this paper, we consider the fractional complex Ginzburg–Landau equation with Kerr law and power law nonlinearity. Using the conformable derivative approach and the bifurcation method, we effectively derived new explicit exact parametric representations of solutions (including solitary wave solutions, periodic wave solutions, kink and antikink wave solution, compacton) under different parameter conditions. The quasiperiodic, chaotic behavior and sensitivity analysis of the model is studied for different values of parameters after deploying an external periodic force. Finally, various 2D and 3D simulation figures are plotted to show the physical significance of these exact solutions.

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Acknowledgements

The authors are grateful to all of the anonymous reviewers for their valuable suggestions.

Funding

The first author is supported by the TYSP MoST of China (Grant No: Ethiopia-18-010) and the National Natural Science Foundation China (Grant Numbers 11950410502, 12271261). The second author is supported by Jiangsu province college students innovation and entrepreneurship training program support project (Provincial Project Number 202210300114Y).

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Author notes

  1. Jingbing Chen and Abdelfattah El Achab are contributed equally to this work.

Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, China

    Temesgen Desta Leta

  2. College of Reading, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, China

    Temesgen Desta Leta & Jingbing Chen

  3. Faculty of Science Semlalia, University Cadi Ayyad, Bd. du Prince Moulay Abdellah, B.P. 2390, Marrakech, Morocco

    Abdelfattah El Achab

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  1. Temesgen Desta Leta
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Leta, T.D., Chen, J. & El Achab, A. Innovative solutions and sensitivity analysis of a fractional complex Ginzburg–Landau equation. Opt Quant Electron 55, 931 (2023). https://doi.org/10.1007/s11082-023-05153-5

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