https://doi.org/10.1140/epjp/s13360-025-06793-0
Regular Article
Soliton solutions and modulation instability for a sixth order dispersive nonlinear Schrödinger equation in optical fiber with cubic-quintic-septic nonlinearities
Department of Physics, School of Advanced Sciences, Vellore Institute of Technology, 600127, Chennai, Tamilnadu, India
Received:
21
June
2025
Accepted:
25
August
2025
Published online:
8
September
2025
This study investigates the impact of sixth-order dispersion on the propagation of highly dispersive solitons in optical fibers. Optical fibers exhibit various orders of dispersion and nonlinearity, each playing a crucial role in data transmission. We examine the specific role of sixth order dispersion in soliton transmission under different physical parameter conditions by considering a higher-order nonlinear Schrödinger equation that describes soliton propagation in the presence of higher-order dispersion and nonlinear effects. Using the new extended auxiliary equation method, we obtain novel solutions expressed through Jacobi elliptic functions with modulus m. The graphical analysis reveals how variations in the sixth order dispersion coefficient alter soliton characteristics, particularly amplitude, pulse width, and waveform across different dispersion and nonlinearity regimes. We further investigate modulation instability by varying sixth order dispersion across different configurations of dispersion and nonlinear parameters. These findings provide critical insights for controlling nonlinear wave propagation in optical fiber systems. This work holds significant potential for optimizing ultrashort pulse propagation in ultrahigh-capacity optical communication networks, where precise management of dispersion orders is essential for mitigating signal degradation.
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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.
