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The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions

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Abstract

In the present work, the generalized complex Ginzburg–Landau (GCGL) model is considered and its 1-soliton solutions involving different wave structures are retrieved through a series of newly well-organized methods. More exactly, after considering the GCGL model, its 1-soliton solutions are obtained using the exponential and Kudryashov methods in the presence of perturbation effects. As a case study, the effect of various parameter regimes on the dynamics of the dark and bright soliton solutions is analyzed in three- and two-dimensional postures. The validity of all the exact solutions presented in this study has been examined successfully through the use of the symbolic computation system.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    K. Hosseini

  2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C., 44891-63157, Rudsar-Vajargah, Iran

    M. Mirzazadeh

  3. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey

    D. Baleanu

  4. Institute of Space Sciences, Magurele-Bucharest, Romania

    D. Baleanu

  5. Department of Medical Research, China Medical University, Taichung, 40447, Taiwan

    D. Baleanu

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

    N. Raza

  7. Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, South Korea

    C. Park

  8. Institute of IR 4.0, The National University of Malaysia, 43600, Bangi, Selangor, Malaysia

    A. Ahmadian

  9. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    S. Salahshour

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  1. K. Hosseini
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  2. M. Mirzazadeh
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  3. D. Baleanu
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  4. N. Raza
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  5. C. Park
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  6. A. Ahmadian
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  7. S. Salahshour
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Correspondence to M. Mirzazadeh or C. Park.

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Hosseini, K., Mirzazadeh, M., Baleanu, D. et al. The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions. Eur. Phys. J. Plus 136, 709 (2021). https://doi.org/10.1140/epjp/s13360-021-01637-z

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01637-z

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