Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion
Stochastic optical solitons are a fascinating phenomenon in nonlinear optics where soliton-like behavior emerges in systems affected by stochastic noise. This study investigates the influence of Brownian motion on wave propagation in optical fibers. The propagation is modeled using a stochastic nonl...
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Elsevier
2024-12-01
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| Series: | Physics Open |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666032624000309 |
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| author | Islam Samir Karim K. Ahmed Hamdy M. Ahmed Homan Emadifar Wafaa B. Rabie |
| author_facet | Islam Samir Karim K. Ahmed Hamdy M. Ahmed Homan Emadifar Wafaa B. Rabie |
| author_sort | Islam Samir |
| collection | DOAJ |
| description | Stochastic optical solitons are a fascinating phenomenon in nonlinear optics where soliton-like behavior emerges in systems affected by stochastic noise. This study investigates the influence of Brownian motion on wave propagation in optical fibers. The propagation is modeled using a stochastic nonlinear Schrödinger equation incorporating quintuple power-law nonlinearity and nonlinear chromatic dispersion. To explore this, the improved modified extended tanh (IMET) scheme, leveraging the extended Riccati equation, is employed. This technique facilitates the extraction of various stochastic solutions, including bright, dark, and singular solitons. Furthermore, solutions in the shapes of exponential, singular periodic, and Weierstrass elliptic forms are investigated. The study looks at how the strength of noise impacts various solutions, and Matlab software is used to create 2D and 3D graphs that show the results. It has been noted that when noise intensity rises, signal level falls and surface flattens. |
| format | Article |
| id | doaj-art-7f9bca2773624802bb799d52aeac1330 |
| institution | DOAJ |
| issn | 2666-0326 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Open |
| spelling | doaj-art-7f9bca2773624802bb799d52aeac13302025-08-20T02:51:46ZengElsevierPhysics Open2666-03262024-12-012110023210.1016/j.physo.2024.100232Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersionIslam Samir0Karim K. Ahmed1Hamdy M. Ahmed2Homan Emadifar3Wafaa B. Rabie4Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, EgyptDepartment of Mathematics, Faculty of Basic Sciences, The German University in Cairo (GUC), Cairo, EgyptDepartment of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, EgyptDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602 105, Tamil Nadu, India; MEU Research Unit, Middle East University, Amman, Jordan; Department of Mathematics, Hamedan Branch, Islamic Azad University of Hamedan, Hamadan, Iran; Corresponding author at: Department of Mathematics, Hamedan Branch, Islamic Azad University of Hamedan, Hamadan, Iran.Department of Engineering Mathematics and Physics, Higher Institute of Engineering and Technology, Tanta, EgyptStochastic optical solitons are a fascinating phenomenon in nonlinear optics where soliton-like behavior emerges in systems affected by stochastic noise. This study investigates the influence of Brownian motion on wave propagation in optical fibers. The propagation is modeled using a stochastic nonlinear Schrödinger equation incorporating quintuple power-law nonlinearity and nonlinear chromatic dispersion. To explore this, the improved modified extended tanh (IMET) scheme, leveraging the extended Riccati equation, is employed. This technique facilitates the extraction of various stochastic solutions, including bright, dark, and singular solitons. Furthermore, solutions in the shapes of exponential, singular periodic, and Weierstrass elliptic forms are investigated. The study looks at how the strength of noise impacts various solutions, and Matlab software is used to create 2D and 3D graphs that show the results. It has been noted that when noise intensity rises, signal level falls and surface flattens.http://www.sciencedirect.com/science/article/pii/S2666032624000309Nonlinear chromatic dispersionStochastic optical solitonsBrownian motionNoise intensity |
| spellingShingle | Islam Samir Karim K. Ahmed Hamdy M. Ahmed Homan Emadifar Wafaa B. Rabie Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion Physics Open Nonlinear chromatic dispersion Stochastic optical solitons Brownian motion Noise intensity |
| title | Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion |
| title_full | Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion |
| title_fullStr | Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion |
| title_full_unstemmed | Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion |
| title_short | Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion |
| title_sort | extraction of newly soliton wave structure of generalized stochastic nlse with standard brownian motion quintuple power law of nonlinearity and nonlinear chromatic dispersion |
| topic | Nonlinear chromatic dispersion Stochastic optical solitons Brownian motion Noise intensity |
| url | http://www.sciencedirect.com/science/article/pii/S2666032624000309 |
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