https://doi.org/10.1140/epjp/s13360-023-04661-3
Regular Article
Investigating of the pure-cubic optical solitons in the presence of spatio-temporal and inter-modal dispersions
1
Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
2
Department of Computer Engineering, Biruni University, Istanbul, Turkey
Received:
26
July
2023
Accepted:
3
November
2023
Published online:
20
November
2023
In this manuscript, we studied the pure-cubic optical solitons with spatio-temporal and inter-modal dispersion in the absence of chromatic dispersion. To produce the analytical solution of the presented model, we implemented two algorithms, namely, the Kudryashov auxiliary equation method and the new Kudryashov method. These two methods are based on the homogeneous balance constant. We acquired the dark, bright and singular solitons with choosing the appropriate parameter values. The three-dimensional, contour and two-dimensional portraits of some of the obtained solutions were illustrated. Moreover, we investigated the effects of the coefficients of the model parameters on the soliton view with graphical representations.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
