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Extraction of new bright and Kink soliton solutions related to Ginzburg Landau equation incorporating fractal effects

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Abstract

The current manuscript investigates the fractal model of the complex Ginzburg Landau equation which has many applications in fiber optics. The two algorithms namely, the semi-inverse approach and Painlevé method is adopted to uncover the soliton solutions of the governing system. The proposed techniques are more straightforward, succinct, accurate, and simple to calculate. As a result, bright and kink solitons are retrieved by the implementation of above-mentioned strategies. The constraint conditions that assure the presence of these solitons appear from the solutions of the model. Due to fractal dimension value irregularity and spikes appear in the solutions which are depicted by graphical illustrations. For several values of fractal parameter 2D, 3D and density plots are presented for the outcomes of semi-inverse strategy and 3D graphs are depicted for Painlevé approach. These techniques proven to be very useful and efficient gadgets for solving nonlinear fractal differential equations that emerge in mathematical physics.

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Data availability statement

All data generated or analyzed during this study are included in this published article.

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Mathematica or Maple files are available on request.

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Acknowledgement

The authors would like to thank the Deanship of Scientific Research at Majmaah University for supporting this work under project No. R-2021-262.

Funding

This work was supported by Deanship of Scientific Research at Majmaah University under project number R-2021-262.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan

    Nauman Raza

  2. Department of Mathematics, Faculty of Sciences AlZulfi, Majmaah University, Majmaah, 11952, Saudi Arabia

    Ziyad A. Alhussain

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  1. Nauman Raza
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  2. Ziyad A. Alhussain
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Correspondence to Nauman Raza.

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Raza, N., Alhussain, Z.A. Extraction of new bright and Kink soliton solutions related to Ginzburg Landau equation incorporating fractal effects. Opt Quant Electron 54, 26 (2022). https://doi.org/10.1007/s11082-021-03402-z

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