https://doi.org/10.1140/epjp/s13360-025-06742-x
Regular Article
Impact of dispersion modulations on nonlocal coupled solitons in inhomogeneous media
1
Department of Mathematics, Physics and Computer Science, Sh. Ualikhanov Kokshetau University, 020000, Kokshetau, Kazakhstan
2
Center for Nonlinear and Complex Networks, SRM TRP Engineering College, 621105, Tiruchirappalli, Tamil Nadu, India
3
Center for Research, Easwari Engineering College, 600089, Chennai, Tamil Nadu, India
4
Department of General and Theoretical Physics, L. N. Gumilyov Eurasian National University, 010008, Astana, Kazakhstan
a
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Received:
16
May
2025
Accepted:
7
August
2025
Published online:
31
August
2025
This study explores the inhomogeneous coupled nonlocal nonlinear Schrödinger equations, which describe soliton dynamics in birefringent optical fibers with longitudinally varying dispersion, nonlinearity, and gain/loss effects. By employing the similarity transformation technique, we convert the inhomogeneous system into its constant coefficient counterpart, allowing us to derive explicit nonlocal soliton solutions. To understand the influence of dispersion variations on inhomogeneous nonlocal solitons, four distinct dispersion modulations are considered: constant, periodic, exponential, and a combined periodic-exponential form. Our findings reveal various soliton behaviors, including breathing dynamics, monotonic and nonmonotonic intensity variations, and oscillatory shifts in the soliton’s central position. Through asymptotic analysis, we investigate the stability characteristics of nonlocal solitons and elucidate the impact of dispersion parameters on their dynamical evolutions. These results provide deeper insights into soliton evolution in inhomogeneous optical media and have potential applications in the design and optimization of fiber laser systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
