Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation
The objective of this study is to investigate miscellaneous wave structures for perturbed Fokas–Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers. Based on the improved projective Riccati equations method, various types of soliton solutions such as bright soliton...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2022-01-01
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| Series: | Journal of the European Optical Society-Rapid Publications |
| Subjects: | |
| Online Access: | https://jeos.edpsciences.org/articles/jeos/full_html/2022/02/jeos20220005/jeos20220005.html |
| _version_ | 1811204705272987648 |
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| author | Al-Ghafri Khalil S. Krishnan Edamana V. Biswas Anjan |
| author_facet | Al-Ghafri Khalil S. Krishnan Edamana V. Biswas Anjan |
| author_sort | Al-Ghafri Khalil S. |
| collection | DOAJ |
| description | The objective of this study is to investigate miscellaneous wave structures for perturbed Fokas–Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers. Based on the improved projective Riccati equations method, various types of soliton solutions such as bright soliton, combo dark–bright soliton, singular soliton and combo singular soliton are constructed. Additionally, a set of periodic singular waves are also retrieved. The dynamical behaviors of some obtained solutions are depicted to provide a key to understanding the physics of the model. The modulation instability of the FLE is reported by employing the linear stability analysis which shows that all solutions are stable. |
| first_indexed | 2024-04-12T03:18:12Z |
| format | Article |
| id | doaj.art-0fb43ffce4b74161b61215b0a70be20c |
| institution | Directory Open Access Journal |
| issn | 1990-2573 |
| language | English |
| last_indexed | 2024-04-12T03:18:12Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Journal of the European Optical Society-Rapid Publications |
| spelling | doaj.art-0fb43ffce4b74161b61215b0a70be20c2022-12-22T03:49:59ZengEDP SciencesJournal of the European Optical Society-Rapid Publications1990-25732022-01-01182910.1051/jeos/2022008jeos20220005Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equationAl-Ghafri Khalil S.0Krishnan Edamana V.1Biswas Anjan2University of Technology and Applied SciencesDepartment of Mathematics, Sultan Qaboos UniversityDepartment of Mathematics and Physics, Grambling State UniversityThe objective of this study is to investigate miscellaneous wave structures for perturbed Fokas–Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers. Based on the improved projective Riccati equations method, various types of soliton solutions such as bright soliton, combo dark–bright soliton, singular soliton and combo singular soliton are constructed. Additionally, a set of periodic singular waves are also retrieved. The dynamical behaviors of some obtained solutions are depicted to provide a key to understanding the physics of the model. The modulation instability of the FLE is reported by employing the linear stability analysis which shows that all solutions are stable.https://jeos.edpsciences.org/articles/jeos/full_html/2022/02/jeos20220005/jeos20220005.htmlperturbed fokas–lenells equationoptical solitonscubic-quartic dispersionimproved projective riccati equations methodmodulation instability |
| spellingShingle | Al-Ghafri Khalil S. Krishnan Edamana V. Biswas Anjan Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation Journal of the European Optical Society-Rapid Publications perturbed fokas–lenells equation optical solitons cubic-quartic dispersion improved projective riccati equations method modulation instability |
| title | Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation |
| title_full | Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation |
| title_fullStr | Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation |
| title_full_unstemmed | Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation |
| title_short | Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation |
| title_sort | cubic quartic optical soliton perturbation and modulation instability analysis in polarization controlled fibers for fokas lenells equation |
| topic | perturbed fokas–lenells equation optical solitons cubic-quartic dispersion improved projective riccati equations method modulation instability |
| url | https://jeos.edpsciences.org/articles/jeos/full_html/2022/02/jeos20220005/jeos20220005.html |
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