A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation
The present paper examines analytically the Kaup-Newell equation, an important class of nonlinear Schrodinger equations with lots of applications in optical fibers. The Riccati equation approach is employed for the present study. The method is one of the recent active integration methods that transf...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2020-11-01
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| Series: | Memoirs of the Scientific Sections of the Romanian Academy |
| Subjects: | |
| Online Access: | http://mss.academiaromana-is.ro/mem_sc_st_2020/19_Qarni%20-%20A%20Riccati%20Equation.pdf |
| _version_ | 1798028512638009344 |
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| author | A. A. AL QARNI |
| author_facet | A. A. AL QARNI |
| author_sort | A. A. AL QARNI |
| collection | DOAJ |
| description | The present paper examines analytically the Kaup-Newell equation, an important class of nonlinear Schrodinger equations with lots of applications in optical fibers. The Riccati equation approach is employed for the present study. The method is one of the recent active integration methods that transform the given partial differential equation to an ordinary one, and thereafter to algebraic equations. Various new optical soliton solutions are successfully disclosed by the method, including bright-singular, dark-singular, and singular optical soliton solutions to mention a few. Similarly, the constraint conditions involved are determined in relation to each soliton solution and illustrate some of the obtained solutions graphically. Finally, the present study can help in understanding many phenomena in optics in particular, and in mathematical physics in general. |
| first_indexed | 2024-04-11T19:09:17Z |
| format | Article |
| id | doaj.art-1c218929f67045f3808bbb73fe25f002 |
| institution | Directory Open Access Journal |
| issn | 1224-1407 2343-7049 |
| language | English |
| last_indexed | 2024-04-11T19:09:17Z |
| publishDate | 2020-11-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Memoirs of the Scientific Sections of the Romanian Academy |
| spelling | doaj.art-1c218929f67045f3808bbb73fe25f0022022-12-22T04:07:39ZengPublishing House of the Romanian AcademyMemoirs of the Scientific Sections of the Romanian Academy1224-14072343-70492020-11-01XLIII203214A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equationA. A. AL QARNI0Department of Mathematics, College of Science, University of Bisha, Bisha, Saudi Arabia; Department of Mathematics, College of Science, King AbdulAziz University, Jeddah, Saudi ArabiaThe present paper examines analytically the Kaup-Newell equation, an important class of nonlinear Schrodinger equations with lots of applications in optical fibers. The Riccati equation approach is employed for the present study. The method is one of the recent active integration methods that transform the given partial differential equation to an ordinary one, and thereafter to algebraic equations. Various new optical soliton solutions are successfully disclosed by the method, including bright-singular, dark-singular, and singular optical soliton solutions to mention a few. Similarly, the constraint conditions involved are determined in relation to each soliton solution and illustrate some of the obtained solutions graphically. Finally, the present study can help in understanding many phenomena in optics in particular, and in mathematical physics in general.http://mss.academiaromana-is.ro/mem_sc_st_2020/19_Qarni%20-%20A%20Riccati%20Equation.pdfriccati equation methodoptical solitonskaup-newell equationnonlinear schrodinger equation |
| spellingShingle | A. A. AL QARNI A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation Memoirs of the Scientific Sections of the Romanian Academy riccati equation method optical solitons kaup-newell equation nonlinear schrodinger equation |
| title | A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation |
| title_full | A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation |
| title_fullStr | A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation |
| title_full_unstemmed | A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation |
| title_short | A Riccati equation approach to construct new dispersive solitons to the Kaup-Newell equation |
| title_sort | riccati equation approach to construct new dispersive solitons to the kaup newell equation |
| topic | riccati equation method optical solitons kaup-newell equation nonlinear schrodinger equation |
| url | http://mss.academiaromana-is.ro/mem_sc_st_2020/19_Qarni%20-%20A%20Riccati%20Equation.pdf |
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