Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative
Abstract This study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise. Using the new Kudryashov method, various solutions are derived, including solitary waves, bright, dark, singular,...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-06-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-04981-7 |
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| author | Muhammad Amin S. Murad Mohammed A. Mustafa Usman Younas Homan Emadifar Abeer S. Khalifa Wael W. Mohammed Karim K. Ahmed |
| author_facet | Muhammad Amin S. Murad Mohammed A. Mustafa Usman Younas Homan Emadifar Abeer S. Khalifa Wael W. Mohammed Karim K. Ahmed |
| author_sort | Muhammad Amin S. Murad |
| collection | DOAJ |
| description | Abstract This study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise. Using the new Kudryashov method, various solutions are derived, including solitary waves, bright, dark, singular, and W-shaped soliton solutions. The study investigates their dynamic behavior and physical characteristics, emphasizing the role of the conformable order derivative and temporal parameters through three-dimensional, two-dimensional, and contour plots. Incorporating multiplicative white noise into soliton analysis presents an innovative approach, advancing the understanding of nonlinear optical phenomena. Noise management techniques modeled in this study help simulate real-world scenarios where fibers face stochastic disturbances, aiding in the design of robust communication systems. Further, understanding noise’s impact on soliton stability offers insights for minimizing errors in signal processing and enhancing the reliability of optical fiber communication networks. |
| format | Article |
| id | doaj-art-e689aeb53e4d49468b380cd36162b011 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-e689aeb53e4d49468b380cd36162b0112025-08-20T03:26:44ZengNature PortfolioScientific Reports2045-23222025-06-0115111510.1038/s41598-025-04981-7Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivativeMuhammad Amin S. Murad0Mohammed A. Mustafa1Usman Younas2Homan Emadifar3Abeer S. Khalifa4Wael W. Mohammed5Karim K. Ahmed6Department of Mathematics, University of DuhokDepartment of Mathematics, University of DuhokDepartment of Mathematics, Shanghai UniversityDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical SciencesDepartment of Mathematics, Faculty of Basic Sciences, The German University in CairoDepartment of Mathematics, University of Ha’ilDepartment of Mathematics, Faculty of Engineering, German International UniversityAbstract This study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise. Using the new Kudryashov method, various solutions are derived, including solitary waves, bright, dark, singular, and W-shaped soliton solutions. The study investigates their dynamic behavior and physical characteristics, emphasizing the role of the conformable order derivative and temporal parameters through three-dimensional, two-dimensional, and contour plots. Incorporating multiplicative white noise into soliton analysis presents an innovative approach, advancing the understanding of nonlinear optical phenomena. Noise management techniques modeled in this study help simulate real-world scenarios where fibers face stochastic disturbances, aiding in the design of robust communication systems. Further, understanding noise’s impact on soliton stability offers insights for minimizing errors in signal processing and enhancing the reliability of optical fiber communication networks.https://doi.org/10.1038/s41598-025-04981-7Nonlinear conformable Schrödinger equationMultiplicative white noiseNew Kudryashov methodOptical fiber communication networks |
| spellingShingle | Muhammad Amin S. Murad Mohammed A. Mustafa Usman Younas Homan Emadifar Abeer S. Khalifa Wael W. Mohammed Karim K. Ahmed Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative Scientific Reports Nonlinear conformable Schrödinger equation Multiplicative white noise New Kudryashov method Optical fiber communication networks |
| title | Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative |
| title_full | Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative |
| title_fullStr | Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative |
| title_full_unstemmed | Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative |
| title_short | Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative |
| title_sort | soliton solutions to the generalized derivative nonlinear schrodinger equation under the effect of multiplicative white noise and conformable derivative |
| topic | Nonlinear conformable Schrödinger equation Multiplicative white noise New Kudryashov method Optical fiber communication networks |
| url | https://doi.org/10.1038/s41598-025-04981-7 |
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