https://doi.org/10.1140/epjp/s13360-026-07319-y
Regular Article
Kudryashov’s Quintuple power-law in magneto-optic waveguides: analytical solutions and dynamical characterization
1
Institute of Mathematics, University of Punjab, Lahore, Pakistan
2
Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Kingdom of Saudi Arabia
3
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey
4
Urgench State University, Kh. Alimjan Str. 14, 221100, Urgench, Uzbekistan
5
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
5
November
2025
Accepted:
12
January
2026
Published online:
30
January
2026
In this work, the propagation of optical solitons in magneto-optic waveguides is investigated with the inclusion of self-phase modulation modeled by Kudryashov’s quintuple power-law. Further, generalized temporal evolution and nonlinear chromatic dispersion have been taken into consideration. Higher-order nonlinearities and dispersive effects are considered in the study. Using the Sardar sub-equation method, soliton solutions are obtained such as bright, kink, and double-hump profiles. Numerical simulations confirm theoretical findings and show stability for the optical soliton under varying parameter conditions. Bifurcation analysis and chaos analysis are performed using phase portraits, time-series data, Lyapunov exponents, and bifurcation maps, detailing the dynamical characteristics of the system. These results will add to the knowledge about soliton dynamics in magneto-optic waveguides and will indicate some possible applications in high-speed optical communication and photonic technologies.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica 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.
