Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas
Abstract This paper mainly concentrates on obtaining solutions and other exact traveling wave solutions using the generalized G-expansion method. Some new exact solutions of the coupled nonlinear Schrödinger system using the mentioned method are extracted. This method is based on the general propert...
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| Format: | Article |
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Nature Portfolio
2024-03-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-56719-6 |
| _version_ | 1797259300616273920 |
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| author | Yuanyuan Liu Jalil Manafian Gurpreet Singh Naief Alabed Alkader Kottakkaran Sooppy Nisar |
| author_facet | Yuanyuan Liu Jalil Manafian Gurpreet Singh Naief Alabed Alkader Kottakkaran Sooppy Nisar |
| author_sort | Yuanyuan Liu |
| collection | DOAJ |
| description | Abstract This paper mainly concentrates on obtaining solutions and other exact traveling wave solutions using the generalized G-expansion method. Some new exact solutions of the coupled nonlinear Schrödinger system using the mentioned method are extracted. This method is based on the general properties of the nonlinear model of expansion method with the support of the complete discrimination system for polynomial method and computer algebraic system (AS) such as Maple or Mathematica. The nonparaxial solitons with the propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide is studied. To attain this, an illustrative case of the coupled nonlinear Helmholtz (CNLH) system is given to illustrate the possibility and unwavering quality of the strategy utilized in this research. These solutions can be significant in the use of understanding the behavior of wave guides when studying Kerr medium, optical computing and optical beams in Kerr like nonlinear media. Physical meanings of solutions are simulated by various Figures in 2D and 3D along with density graphs. The constraint conditions of the existence of solutions are also reported in detail. Finally, the modulation instability analysis of the CNLH equation is presented in detail. |
| first_indexed | 2024-04-24T23:07:14Z |
| format | Article |
| id | doaj.art-a71830a7608d408e963b498f460fbdbd |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-24T23:07:14Z |
| publishDate | 2024-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-a71830a7608d408e963b498f460fbdbd2024-03-17T12:25:48ZengNature PortfolioScientific Reports2045-23222024-03-0114113010.1038/s41598-024-56719-6Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideasYuanyuan Liu0Jalil Manafian1Gurpreet Singh2Naief Alabed Alkader3Kottakkaran Sooppy Nisar4Department of Mathematics and Artificial Intelligence, Lyuliang UniversityDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of TabrizDepartment of Applied Sciences, Chitkara university institute of Engineering and Technology, Chitkara UniversityDepartment of Sustainable Finance, Plekhanov Russian University of EconomicsDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz UniversityAbstract This paper mainly concentrates on obtaining solutions and other exact traveling wave solutions using the generalized G-expansion method. Some new exact solutions of the coupled nonlinear Schrödinger system using the mentioned method are extracted. This method is based on the general properties of the nonlinear model of expansion method with the support of the complete discrimination system for polynomial method and computer algebraic system (AS) such as Maple or Mathematica. The nonparaxial solitons with the propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide is studied. To attain this, an illustrative case of the coupled nonlinear Helmholtz (CNLH) system is given to illustrate the possibility and unwavering quality of the strategy utilized in this research. These solutions can be significant in the use of understanding the behavior of wave guides when studying Kerr medium, optical computing and optical beams in Kerr like nonlinear media. Physical meanings of solutions are simulated by various Figures in 2D and 3D along with density graphs. The constraint conditions of the existence of solutions are also reported in detail. Finally, the modulation instability analysis of the CNLH equation is presented in detail.https://doi.org/10.1038/s41598-024-56719-6Nonparaxial solitonsGeneralized G-expansion techniqueSoliton solutionModulation instability analysisCoupled nonlinear Helmholtz systems |
| spellingShingle | Yuanyuan Liu Jalil Manafian Gurpreet Singh Naief Alabed Alkader Kottakkaran Sooppy Nisar Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas Scientific Reports Nonparaxial solitons Generalized G-expansion technique Soliton solution Modulation instability analysis Coupled nonlinear Helmholtz systems |
| title | Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas |
| title_full | Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas |
| title_fullStr | Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas |
| title_full_unstemmed | Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas |
| title_short | Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas |
| title_sort | analytical investigations of propagation of ultra broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas |
| topic | Nonparaxial solitons Generalized G-expansion technique Soliton solution Modulation instability analysis Coupled nonlinear Helmholtz systems |
| url | https://doi.org/10.1038/s41598-024-56719-6 |
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