Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics
We utilize a cohesive methodology to obtain some new solitary wave solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation (2D-NLSE). The solutions provided herein are significant for elucidating physical phenomena in various domains, including optical fibers, plasma media, and ocean wa...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2025-01-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0249246 |
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| author | S. Z. Hassan D. M. Alsaleh Munerah Almulhem R. A. Alomair A. F. Daghestani Mahmoud A. E. Abdelrahman |
| author_facet | S. Z. Hassan D. M. Alsaleh Munerah Almulhem R. A. Alomair A. F. Daghestani Mahmoud A. E. Abdelrahman |
| author_sort | S. Z. Hassan |
| collection | DOAJ |
| description | We utilize a cohesive methodology to obtain some new solitary wave solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation (2D-NLSE). The solutions provided herein are significant for elucidating physical phenomena in various domains, including optical fibers, plasma media, and ocean waves. Furthermore, scientific computing would be used to illustrate the physical interpretation of nonlinear waves. Our study examines how 2D-NLSE wave solutions affect physical model characteristics such as group velocity dispersion, nonlinearity, and linear coefficients. These variables functioned to control the amplitude and wave phase of the optical solitary waves during transmission. Finally, the strategy provided here is applicable to many nonlinear systems and new energy trends in natural science. |
| format | Article |
| id | doaj-art-54d03118f3a24654824657e22bf1f822 |
| institution | Kabale University |
| issn | 2158-3226 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj-art-54d03118f3a24654824657e22bf1f8222025-02-03T16:40:42ZengAIP Publishing LLCAIP Advances2158-32262025-01-01151015122015122-910.1063/5.0249246Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physicsS. Z. Hassan0D. M. Alsaleh1Munerah Almulhem2R. A. Alomair3A. F. Daghestani4Mahmoud A. E. Abdelrahman5Department of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 31441, Saudi ArabiaDepartment of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, Dammam 35811, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 31441, Saudi ArabiaDepartment of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, Dammam 35811, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 31441, Saudi ArabiaDepartment of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaWe utilize a cohesive methodology to obtain some new solitary wave solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation (2D-NLSE). The solutions provided herein are significant for elucidating physical phenomena in various domains, including optical fibers, plasma media, and ocean waves. Furthermore, scientific computing would be used to illustrate the physical interpretation of nonlinear waves. Our study examines how 2D-NLSE wave solutions affect physical model characteristics such as group velocity dispersion, nonlinearity, and linear coefficients. These variables functioned to control the amplitude and wave phase of the optical solitary waves during transmission. Finally, the strategy provided here is applicable to many nonlinear systems and new energy trends in natural science.http://dx.doi.org/10.1063/5.0249246 |
| spellingShingle | S. Z. Hassan D. M. Alsaleh Munerah Almulhem R. A. Alomair A. F. Daghestani Mahmoud A. E. Abdelrahman Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics AIP Advances |
| title | Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics |
| title_full | Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics |
| title_fullStr | Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics |
| title_full_unstemmed | Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics |
| title_short | Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics |
| title_sort | innovative solutions to the 2d nonlinear schrodinger model in mathematical physics |
| url | http://dx.doi.org/10.1063/5.0249246 |
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