New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu model
This paper explores the dynamics of the generalized Chen-Lee-Liu equation, a fundamental model in nonlinear optics, extended to incorporate multiplicative white noise. By employing Itô calculus, the stochastic behavior of the system was is rigorously analyzed, providing insights into the effects of...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025239 |
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| author | Ahmed M. Elsherbeny Taher A. Nofal Yakup Yıldırım Ahmed H. Arnous |
| author_facet | Ahmed M. Elsherbeny Taher A. Nofal Yakup Yıldırım Ahmed H. Arnous |
| author_sort | Ahmed M. Elsherbeny |
| collection | DOAJ |
| description | This paper explores the dynamics of the generalized Chen-Lee-Liu equation, a fundamental model in nonlinear optics, extended to incorporate multiplicative white noise. By employing Itô calculus, the stochastic behavior of the system was is rigorously analyzed, providing insights into the effects of perturbations on soliton dynamics. The improved extended modified tanh-function approach was utilized to derive a variety of soliton solutions, including singular, dark, and bright solitons, as well as newly identified straddled solitons. This analytical approach highlights the transformative relationships between soliton types under specific conditions, expanding the spectrum of known solutions. The incorporation of multiplicative white noise reveals intricate changes in soliton stability, amplitude, and velocity, illustrating the interplay between deterministic and stochastic influences. These findings offer theoretical advancements in the understanding of soliton behavior in noisy environments and have practical implications for optical communication systems and nonlinear wave modeling. This study enriches the theoretical landscape of soliton dynamics and sets the stage for future research into stochastic soliton systems. |
| format | Article |
| id | doaj-art-d845b4dc2bc84f12a4e0fb1580cf0132 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-d845b4dc2bc84f12a4e0fb1580cf01322025-08-20T01:54:41ZengAIMS PressAIMS Mathematics2473-69882025-03-011035197523510.3934/math.2025239New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu modelAhmed M. Elsherbeny0Taher A. Nofal1Yakup Yıldırım2Ahmed H. Arnous3Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo 11517, EgyptDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Computer Engineering, Biruni University, Istanbul 34010, TurkeyDepartment of Physics and Engineering Mathematics, Higher Institute of Engineering, El–Shorouk Academy, Cairo, EgyptThis paper explores the dynamics of the generalized Chen-Lee-Liu equation, a fundamental model in nonlinear optics, extended to incorporate multiplicative white noise. By employing Itô calculus, the stochastic behavior of the system was is rigorously analyzed, providing insights into the effects of perturbations on soliton dynamics. The improved extended modified tanh-function approach was utilized to derive a variety of soliton solutions, including singular, dark, and bright solitons, as well as newly identified straddled solitons. This analytical approach highlights the transformative relationships between soliton types under specific conditions, expanding the spectrum of known solutions. The incorporation of multiplicative white noise reveals intricate changes in soliton stability, amplitude, and velocity, illustrating the interplay between deterministic and stochastic influences. These findings offer theoretical advancements in the understanding of soliton behavior in noisy environments and have practical implications for optical communication systems and nonlinear wave modeling. This study enriches the theoretical landscape of soliton dynamics and sets the stage for future research into stochastic soliton systems.https://www.aimspress.com/article/doi/10.3934/math.2025239wiener processsolitonsperturbationschen-lee-liu equationmultiplicative white noise |
| spellingShingle | Ahmed M. Elsherbeny Taher A. Nofal Yakup Yıldırım Ahmed H. Arnous New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu model AIMS Mathematics wiener process solitons perturbations chen-lee-liu equation multiplicative white noise |
| title | New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu model |
| title_full | New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu model |
| title_fullStr | New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu model |
| title_full_unstemmed | New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu model |
| title_short | New solitary waveforms and their dynamics in the stochastic generalized Chen–Lee–Liu model |
| title_sort | new solitary waveforms and their dynamics in the stochastic generalized chen lee liu model |
| topic | wiener process solitons perturbations chen-lee-liu equation multiplicative white noise |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025239 |
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