https://doi.org/10.1140/epjp/s13360-025-06406-w
Regular Article
Quiescent solitons in couplers for optical metamaterials with Kudryashov’s sextic power-law of self-phase modulation having nonlinear chromatic dispersion
1
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
2
Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El–Shorouk Academy, Cairo, Egypt
3
Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt
4
Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey
5
Mathematics Research Center, Near East University, 99138, Nicosia, Cyprus
6
Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Galati, Romania
7
Department of Physics, Sefako Makgatho Health Sciences University, 0204, Medunsa, South Africa
8
Department of Business Administration, Faculty of Economics and Business Administration, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Galati, Romania
9
Department of Physics, School of Physical Sciences, Amrita Vishwa Vidyapeetham, 641112, Coimbatore, India
10
Department of Mathematics and Physics, Grambling State University, 71245–2715, Grambling, LA, USA
11
Department of Physics and Electronics, Khazar University, AZ–1096, Baku, Azerbaijan
12
Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201, Galati, Romania
13
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, 0204, Medunsa, South Africa
Received:
21
March
2025
Accepted:
6
May
2025
Published online:
31
May
2025
The current paper retrieves quiescent optical solitons in magneto-optic waveguides with optical metamaterials with Kudryashov’s sextic power-law of self-phase modulation. The chromatic dispersion is rendered to be nonlinear, while the temporal evolution is taken to be in its generalized form. Both twin-core and multiple-core couplers are considered. The enhanced direct algebraic method is the integration algorithm for the recovery of such solitons.
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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.
