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New optical solitons for complex Ginzburg–Landau equation with beta derivatives via two integration algorithms

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Abstract

This paper explores the optical solitons with Kerr laws nonlinearity for the complex Ginzburg–Landau equation with M-truncated and beta derivatives which describes solitons propagation. In this regard, two new methods, namely extended sub-equation and unified solver method, are used. From general, hyperbolic, and trigonometric functions, we obtain novel and general solitary solutions. All obtained solutions can be useful for a variety of important experiments in nuclear physics, fluid mechanics, and particle physics. Our results show the strength of the proposed technique for the determination of optical solitons of nonlinear evolution equations. The proposed methods can be applied for solving other fractional space–time NLEs arising in nonlinear optics.

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Authors and Affiliations

  1. Physics Department, College of Science, University of Bisha, P.O Box 344, Bisha, 61922, Kingdom of Saudi Arabia

    L. Ouahid, M. A. Abdou & A. M. Abdel-Baset

  2. Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    M. A. Abdou

  3. Mathematics Department, College of Science, University of Bisha, P.O Box 344, Bisha, 61922, Kingdom of Saudi Arabia

    S. Owyed

  4. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    M. Inc & A. Yusuf

  5. Department of Mathematics, Science Faculty, Firat University, Elazig, Turkey

    M. Inc

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

    M. Inc

  7. Physics Department, Assiut University, Assiut, 71516, Egypt

    A. M. Abdel-Baset

  8. Department of Mathematics, Federal University Dutse, Jigawa, Nigeria

    A. Yusuf

Authors
  1. L. Ouahid
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  2. M. A. Abdou
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  3. S. Owyed
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  4. M. Inc
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  5. A. M. Abdel-Baset
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  6. A. Yusuf
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Correspondence to M. Inc.

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This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors. The authors do not have any conflict of interest in this research.

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Ouahid, L., Abdou, M.A., Owyed, S. et al. New optical solitons for complex Ginzburg–Landau equation with beta derivatives via two integration algorithms. Indian J Phys 96, 2093–2105 (2022). https://doi.org/10.1007/s12648-021-02168-0

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  • DOI: https://doi.org/10.1007/s12648-021-02168-0

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