Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structures
This paper investigates, for the first time, the recovery of optical solitons governed by the perturbed complex Ginzburg–Landau equation with multiplicative white noise. Seven distinct self-phase modulation structures, originally proposed by Kudryashov, are considered to explore the nonlinear dynami...
Saved in:
| Main Authors: | , , , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-12-01
|
| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2025.2504794 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850138334023647232 |
|---|---|
| author | Elsayed M. E. Zayed Basel M. M. Saad Ahmed H. Arnous Ahmed M. Elsherbeny Yakup Yildirim Layth Hussein S. Saravana Veni Luminita Moraru Puiu Lucian Georgescu Anjan Biswas |
| author_facet | Elsayed M. E. Zayed Basel M. M. Saad Ahmed H. Arnous Ahmed M. Elsherbeny Yakup Yildirim Layth Hussein S. Saravana Veni Luminita Moraru Puiu Lucian Georgescu Anjan Biswas |
| author_sort | Elsayed M. E. Zayed |
| collection | DOAJ |
| description | This paper investigates, for the first time, the recovery of optical solitons governed by the perturbed complex Ginzburg–Landau equation with multiplicative white noise. Seven distinct self-phase modulation structures, originally proposed by Kudryashov, are considered to explore the nonlinear dynamics of the system. The study employs the generalized [Formula: see text]-expansion method as the primary integration technique, enabling the derivation of soliton solutions. They are dark, bright, and other types of optical solitons, which are explicitly derived in analytical form. Furthermore, the necessary parameter constraints for the existence of these solitons are systematically derived and discussed. The results contribute to the understanding of soliton dynamics in complex systems influenced by white noise, offering insights into potential applications in nonlinear optics and related fields. |
| format | Article |
| id | doaj-art-bfb9eb4abd304401b630df2f35c5df4a |
| institution | OA Journals |
| issn | 1658-3655 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj-art-bfb9eb4abd304401b630df2f35c5df4a2025-08-20T02:30:35ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552025-12-0119110.1080/16583655.2025.2504794Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structuresElsayed M. E. Zayed0Basel M. M. Saad1Ahmed H. Arnous2Ahmed M. Elsherbeny3Yakup Yildirim4Layth Hussein5S. Saravana Veni6Luminita Moraru7Puiu Lucian Georgescu8Anjan Biswas9Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptDepartment of Mathematics, Faculty of Science, Arish University, North Sinai, EgyptDepartment of Engineering Mathematics and Physics, Higher Institute of Engineering, El–Shorouk Academy, Cairo, EgyptDepartment of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, EgyptDepartment of Computer Engineering, Biruni University, Istanbul, TurkeyDepartment of Computers Techniques Engineering, College of Technical Engineering, The Islamic University, Najaf/Babylon/Al–Diwaniyah, IraqDepartment of Physics, School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore, IndiaFaculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, Galati, RomaniaFaculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, Galati, RomaniaDepartment of Mathematics and Physics, Grambling State University, Grambling, LA, USAThis paper investigates, for the first time, the recovery of optical solitons governed by the perturbed complex Ginzburg–Landau equation with multiplicative white noise. Seven distinct self-phase modulation structures, originally proposed by Kudryashov, are considered to explore the nonlinear dynamics of the system. The study employs the generalized [Formula: see text]-expansion method as the primary integration technique, enabling the derivation of soliton solutions. They are dark, bright, and other types of optical solitons, which are explicitly derived in analytical form. Furthermore, the necessary parameter constraints for the existence of these solitons are systematically derived and discussed. The results contribute to the understanding of soliton dynamics in complex systems influenced by white noise, offering insights into potential applications in nonlinear optics and related fields.https://www.tandfonline.com/doi/10.1080/16583655.2025.2504794White noisesolitons–expansion |
| spellingShingle | Elsayed M. E. Zayed Basel M. M. Saad Ahmed H. Arnous Ahmed M. Elsherbeny Yakup Yildirim Layth Hussein S. Saravana Veni Luminita Moraru Puiu Lucian Georgescu Anjan Biswas Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structures Journal of Taibah University for Science White noise solitons –expansion |
| title | Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structures |
| title_full | Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structures |
| title_fullStr | Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structures |
| title_full_unstemmed | Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structures |
| title_short | Optical soliton perturbation for complex Ginzburg–Landau equation with multiplicative white noise and seven forms of Kudryashov’s self–phase modulation structures |
| title_sort | optical soliton perturbation for complex ginzburg landau equation with multiplicative white noise and seven forms of kudryashov s self phase modulation structures |
| topic | White noise solitons –expansion |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2025.2504794 |
| work_keys_str_mv | AT elsayedmezayed opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT baselmmsaad opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT ahmedharnous opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT ahmedmelsherbeny opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT yakupyildirim opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT laythhussein opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT ssaravanaveni opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT luminitamoraru opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT puiuluciangeorgescu opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures AT anjanbiswas opticalsolitonperturbationforcomplexginzburglandauequationwithmultiplicativewhitenoiseandsevenformsofkudryashovsselfphasemodulationstructures |