https://doi.org/10.1140/epjp/s13360-024-05062-w
Regular Article
Propagation dynamics of nonautonomous solitons in a temporally modulated cubic–quintic–septimal nonlinear medium
1
Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000, Annaba, Algeria
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
3
School of Electronics and Information Engineering, Wuhan Donghu University, 430212, Wuhan, China
4
Department of Mathematics and Physics, Grambling State University, 71245–2715, Grambling, LA, USA
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
6
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, 0204, Pretoria, South Africa
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
8
Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey
9
Mathematics Research Center, Near East University, 99138, Nicosia, Cyprus
Received:
21
January
2024
Accepted:
4
March
2024
Published online:
25
March
2024
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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
