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Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion
The main concentration of this article is to extract pure-cubic optical solitons in nonlinear optical fiber modeled by nonlinear Schrödinger equation (NLSE). The governing model is discussed the with the effect of third-order dispersion, Kerr law of nonlinearity and without chromatic dispersion. We...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8364312/ https://www.ncbi.nlm.nih.gov/pubmed/34413567 http://dx.doi.org/10.1007/s11082-021-03151-z |
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author | Younas, Usman Bilal, Muhammad Ren, Jingli |
author_facet | Younas, Usman Bilal, Muhammad Ren, Jingli |
author_sort | Younas, Usman |
collection | PubMed |
description | The main concentration of this article is to extract pure-cubic optical solitons in nonlinear optical fiber modeled by nonlinear Schrödinger equation (NLSE). The governing model is discussed the with the effect of third-order dispersion, Kerr law of nonlinearity and without chromatic dispersion. We extract the solutions in different forms like, Jacobi’s elliptic, hyperbolic, periodic, exponential function solutions including a class of solitary wave solutions such that bright, dark, singular, kink-shape, multiple-optical soliton, and mixed complex soliton solutions. Recently developed integration tools known as [Formula: see text] -model expansion method, generalized exponential rational function method (GERFM) and generalized Kudryashov method are applied to analyze the governing model. The studied model is also discussed by the concept of modulation instability (MI) analysis. The constraints conditions are explicitly presented for the resulting solutions and singular periodic wave solutions are recovered. Furthermore, for explaining the solutions in physical phenomena, the three dimensional, two dimensional, and their related contours graphs are plotted under the selection of appropriate parameters. The accomplished results show that the applied computational system is direct, productive, reliable and can be carried out in more complicated phenomena. The results show that the studied equation theoretically has extremely rich pure-cubic optical structures of nonlinear fiber relevance. |
format | Online Article Text |
id | pubmed-8364312 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer US |
record_format | MEDLINE/PubMed |
spelling | pubmed-83643122021-08-15 Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion Younas, Usman Bilal, Muhammad Ren, Jingli Opt Quantum Electron Article The main concentration of this article is to extract pure-cubic optical solitons in nonlinear optical fiber modeled by nonlinear Schrödinger equation (NLSE). The governing model is discussed the with the effect of third-order dispersion, Kerr law of nonlinearity and without chromatic dispersion. We extract the solutions in different forms like, Jacobi’s elliptic, hyperbolic, periodic, exponential function solutions including a class of solitary wave solutions such that bright, dark, singular, kink-shape, multiple-optical soliton, and mixed complex soliton solutions. Recently developed integration tools known as [Formula: see text] -model expansion method, generalized exponential rational function method (GERFM) and generalized Kudryashov method are applied to analyze the governing model. The studied model is also discussed by the concept of modulation instability (MI) analysis. The constraints conditions are explicitly presented for the resulting solutions and singular periodic wave solutions are recovered. Furthermore, for explaining the solutions in physical phenomena, the three dimensional, two dimensional, and their related contours graphs are plotted under the selection of appropriate parameters. The accomplished results show that the applied computational system is direct, productive, reliable and can be carried out in more complicated phenomena. The results show that the studied equation theoretically has extremely rich pure-cubic optical structures of nonlinear fiber relevance. Springer US 2021-08-14 2021 /pmc/articles/PMC8364312/ /pubmed/34413567 http://dx.doi.org/10.1007/s11082-021-03151-z Text en © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Article Younas, Usman Bilal, Muhammad Ren, Jingli Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion |
title | Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion |
title_full | Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion |
title_fullStr | Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion |
title_full_unstemmed | Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion |
title_short | Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion |
title_sort | propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8364312/ https://www.ncbi.nlm.nih.gov/pubmed/34413567 http://dx.doi.org/10.1007/s11082-021-03151-z |
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