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Propagation dynamics of nonautonomous solitons in a temporally modulated cubic–quintic–septimal nonlinear medium

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Abstract

We investigate the behavior of optical solitons within a nonlinear medium characterized by temporally varying second-order dispersion, cubic–quintic–septimal nonlinearities, and linear gain or loss. Our analysis yields analytical solutions for both bright and dark nonautonomous solitons governed by the generalized cubic–quintic–septimal nonlinear Schrödinger’s equation with time-dependent coefficients. These soliton solutions exhibit characteristics, including distributed parameters affecting their amplitude, position, and phase, offering effective control over their evolution. Through examination of different material parameters, we observe features in the evolution of these soliton structures, demonstrating the influence of system parameter modulation. Notably, our findings highlight the potential for dynamic control of soliton behavior through adjustments of time-modulated group velocity dispersion and gain or loss parameters.

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Author information

Authors and Affiliations

  1. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000, Annaba, Algeria

    Houria Triki

  2. Laboratory of Physics of Matter and Radiation (LPMR), Department of Matter Sciences, University of Souk-Ahras, P.O. Box 1553, 41000, Souk-Ahras, Algeria

    Abdesselam Bouguerra

  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, China

    Xiaodan Gao

  4. Department of Mathematics and Physics, Grambling State University, Grambling, LA, 71245–2715, USA

    Anjan Biswas

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

    Anjan Biswas & Ali Saleh Alshomrani

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

    Anjan Biswas

  7. 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

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

    Yakup Yıldırım

  9. Mathematics Research Center, Near East University, 99138, Nicosia, Cyprus

    Yakup Yıldırım

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  1. Houria Triki
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  2. Abdesselam Bouguerra
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  3. Xiaodan Gao
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  6. Ali Saleh Alshomrani
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Correspondence to Xiaodan Gao.

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Triki, H., Bouguerra, A., Gao, X. et al. Propagation dynamics of nonautonomous solitons in a temporally modulated cubic–quintic–septimal nonlinear medium. Eur. Phys. J. Plus 139, 287 (2024). https://doi.org/10.1140/epjp/s13360-024-05062-w

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