https://doi.org/10.1140/epjp/s13360-023-03666-2
Regular Article
Exploration new solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity using improved modified extended tanh-function method
1
Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt
2
Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
Received:
5
May
2022
Accepted:
5
January
2023
Published online:
16
January
2023
Our paper studies the optical solitons of the fiber Bragg gratings with cubic–quartic dispersive reflectivity having parabolic law and parabolic-nonlocal-combo law. By using the improved modified extended tanh-function method, we can obtain bright, dark and singular soliton solutions. Also, we can get different types of solutions, namely periodic wave solutions, hyperbolic type solutions, singular periodic wave solutions, exponential solutions and Weierstrass elliptic doubly periodic solutions. Furthermore, graphic representation for some obtained solutions is given for more illustrations.
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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.