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Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach

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Abstract

This paper presents a method for extracting cubic–quartic optical soliton solutions for the complex Ginzburg–Landau equation with five distinct forms of nonlinear refractive index. By utilizing the proposed algorithm, we can obtain a diverse range of optical solitons, including hybrid types, that satisfy the specified parameter restrictions.

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Author information

Authors and Affiliations

  1. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, Cairo, Egypt

    Ahmed H. Arnous

  2. Department of Mathematics, College of Science, Taif University, P. O. Box 11099, 21944, Taif, Saudi Arabia

    Taher A. Nofal

  3. Department of Mathematics and Physics, Grambling State University, Grambling, LA, 71245, USA

    Anjan Biswas

  4. Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    Anjan Biswas & Asim Asiri

  5. Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201, Galaţi, Romania

    Anjan Biswas

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

    Anjan Biswas

  7. Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey

    Yakup Yıldırım

  8. Department of Mathematics, Near East University, 99138, Nicosia, Cyprus

    Yakup Yıldırım

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  1. Ahmed H. Arnous
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  2. Taher A. Nofal
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  4. Yakup Yıldırım
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Correspondence to Yakup Yıldırım.

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Arnous, A.H., Nofal, T.A., Biswas, A. et al. Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: A novel approach. Nonlinear Dyn 111, 20201–20216 (2023). https://doi.org/10.1007/s11071-023-08854-4

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