https://doi.org/10.1140/epjd/s10053-026-01153-8
Research - Photon
Analysis of optical soliton dynamics for the conformable Kudryashov equation by uniform method
Department of Mathematics, College of Science, University of Duhok, Duhok, Iraq
a
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Received:
27
December
2025
Accepted:
20
March
2026
Published online:
20
April
2026
Abstract
This work presents several new optical soliton solutions of the conformable Kudryashov equation, providing insights into pulse dynamics in nonlinear optical fiber systems. To obtain new solutions to the model, we employ the unified method as an efficient analytical approach, through which several new and diverse soliton structures are successfully derived. To show the physical behavior of these solutions, the two-dimensional, three-dimensional, and contour plots are presented, revealing kink-type, wave-type, multi-bright, and mixed dark–bright solitons. The influence of the fractional-order parameter and the temporal variable is thoroughly examined, highlighting their impact on the soliton shape, amplitude, and propagation dynamics. The integration of the conformable derivative into the governing model marks a significant advancement over classical integer-order formulations, providing deeper insight into the role of fractional calculus in nonlinear wave evolution. The results not only enhance the theoretical understanding of optical soliton behavior but also open new possibilities for practical applications in high-speed optical communication, laser design, and advanced signal processing technologies.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
