Analysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave model
Abstract This work present comprehensive analysis of the Wazwaz Unidirectional Wave Model (UWM) to explore ultra-short pulse propagation in silica optical fibers. By determining the Lie-Bäcklund symmetry group and employing the multiplier method, infinite conservation laws are derived, underscoring...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-04-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-98076-y |
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| author | Athar I. Ahmed Mohammed Alsharafi Blgys Muflh Amel Touati Khaled Aldwoah Nidal Eljaneid |
| author_facet | Athar I. Ahmed Mohammed Alsharafi Blgys Muflh Amel Touati Khaled Aldwoah Nidal Eljaneid |
| author_sort | Athar I. Ahmed |
| collection | DOAJ |
| description | Abstract This work present comprehensive analysis of the Wazwaz Unidirectional Wave Model (UWM) to explore ultra-short pulse propagation in silica optical fibers. By determining the Lie-Bäcklund symmetry group and employing the multiplier method, infinite conservation laws are derived, underscoring the model’s integrability. Soliton solutions are obtained using the sine-Gordon expansion approach (SGEA) and compared with earlier solutions to highlight consistency and accuracy. Additionally, the stability of the solutions is validated through stability analysis. The novelty of this work lies in the comprehensive integration of symmetry, conservation, and stability analyses, which advances previous efforts by offering a holistic understanding of the model’s properties and providing a foundation for future theoretical and applied studies. |
| format | Article |
| id | doaj-art-e263c3eac1eb48bd96cd4753ba87d89b |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-e263c3eac1eb48bd96cd4753ba87d89b2025-08-20T03:18:53ZengNature PortfolioScientific Reports2045-23222025-04-0115111110.1038/s41598-025-98076-yAnalysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave modelAthar I. Ahmed0Mohammed Alsharafi1Blgys Muflh2Amel Touati3Khaled Aldwoah4Nidal Eljaneid5Department of Mathematics, College of Science, University of Ha’ilDepartment of Mathematics, Faculty of Science, Sana’a UniversityDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz UniversityDepartment of Mathematics, Faculty of Science, Northern Border UniversityDepartment of Mathematics, Faculty of Science, Islamic University of MadinahDepartment of Mathematics, Faculty of Science, University of TabukAbstract This work present comprehensive analysis of the Wazwaz Unidirectional Wave Model (UWM) to explore ultra-short pulse propagation in silica optical fibers. By determining the Lie-Bäcklund symmetry group and employing the multiplier method, infinite conservation laws are derived, underscoring the model’s integrability. Soliton solutions are obtained using the sine-Gordon expansion approach (SGEA) and compared with earlier solutions to highlight consistency and accuracy. Additionally, the stability of the solutions is validated through stability analysis. The novelty of this work lies in the comprehensive integration of symmetry, conservation, and stability analyses, which advances previous efforts by offering a holistic understanding of the model’s properties and providing a foundation for future theoretical and applied studies.https://doi.org/10.1038/s41598-025-98076-yUnidirectional wave modelLie-Bäcklund symmetryConservation lawsSine-Gordon expansion approach |
| spellingShingle | Athar I. Ahmed Mohammed Alsharafi Blgys Muflh Amel Touati Khaled Aldwoah Nidal Eljaneid Analysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave model Scientific Reports Unidirectional wave model Lie-Bäcklund symmetry Conservation laws Sine-Gordon expansion approach |
| title | Analysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave model |
| title_full | Analysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave model |
| title_fullStr | Analysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave model |
| title_full_unstemmed | Analysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave model |
| title_short | Analysis of Lie-Bäcklund symmetry soliton solutions and stability dynamics in the Wazwaz unidirectional wave model |
| title_sort | analysis of lie backlund symmetry soliton solutions and stability dynamics in the wazwaz unidirectional wave model |
| topic | Unidirectional wave model Lie-Bäcklund symmetry Conservation laws Sine-Gordon expansion approach |
| url | https://doi.org/10.1038/s41598-025-98076-y |
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