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Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes

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Abstract

This article examines the complex Ginzburg–Landau equation with the beta time derivative and analyze its optical solitons and other solutions in the appearance of a detuning factor in non-linear optics. The kink, bright, W-shaped bright, and dark solitons solution of this model are acquired using the modified Exp-function and Kudryshov methods. The model is examined with quadratic-cubic law, Kerr law, and parabolic laws non-linear fibers. These solitons emerge with restrictive conditions that ensure their existence are also presented. Furthermore, the obtained and precise solutions are graphically displayed, illustrating the impact of non-linearity. The various forms of solutions to the aforementioned nonlinear equation that arises in fluid dynamics and nonlinear processes are presented.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Islamabad, Pakistan

    Asim Zafar, Muhammad Shakeel & Asif Ali

  2. Department of Mathematics, Lafayette College, Easton, PA, USA

    Lanre Akinyemi

  3. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

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  1. Asim Zafar
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  2. Muhammad Shakeel
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  3. Asif Ali
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  4. Lanre Akinyemi
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  5. Hadi Rezazadeh
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Correspondence to Lanre Akinyemi.

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Zafar, A., Shakeel, M., Ali, A. et al. Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes. Opt Quant Electron 54, 5 (2022). https://doi.org/10.1007/s11082-021-03393-x

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