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Pure-Cubic Optical Soliton Perturbation with Complex Ginzburg–Landau Equation Having a Dozen Nonlinear Refractive Index Structures

  • ELECTRODYNAMICS AND WAVE PROPAGATION
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Abstract

This paper recovers soliton solutions to perturbed pure–cubic complex Ginzburg–Landau equation having a dozen forms of nonlinear refractive index. Two integration schemes, namely the new mapping method and the addendum to Kudryashov’s approach have made this retrieval possible. Bright, dark and singular soliton solutions are recovered and enumerated for every nonlinear form. As a byproduct of the schemes, periodic solutions have emerged and are presented as well.

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Funding

The project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant number KEP-PhD-26-130-41. The authors, therefore, acknowledge with thanks DSR technical and financial support.

The authors also declare that there is no conflict of interest.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Zagazig University, 44519, Zagazig, Egypt

    Elsayed M. E. Zayed & Mohamed E. M. Alngar

  2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, AL 35762–4900, Normal, USA

    Anjan Biswas & Salam Khan

  3. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    Anjan Biswas & Ali Saleh Alshomrani

  4. Department of Applied Mathematics, National Research Nuclear University, 115409, Moscow, Russia

    Anjan Biswas

  5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, 0204, Medunsa, South Africa

    Anjan Biswas

  6. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100, Yozgat, Turkey

    Mehmet Ekici

Authors
  1. Elsayed M. E. Zayed
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  2. Mohamed E. M. Alngar
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  3. Anjan Biswas
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  4. Mehmet Ekici
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  5. Salam Khan
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  6. Ali Saleh Alshomrani
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Correspondence to Anjan Biswas.

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Elsayed M. E. Zayed, Alngar, M.E., Biswas, A. et al. Pure-Cubic Optical Soliton Perturbation with Complex Ginzburg–Landau Equation Having a Dozen Nonlinear Refractive Index Structures. J. Commun. Technol. Electron. 66, 481–544 (2021). https://doi.org/10.1134/S1064226921050120

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  • DOI: https://doi.org/10.1134/S1064226921050120

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