Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation
We examine an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial derivatives in this paper. We develop various optical solutions to the equation under study using the Jacobi elliptic expansion method. We in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723000487 |
| _version_ | 1828032531682820096 |
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| author | Karmina K. Ali Sibel Tarla Mohamed R. Ali Abdullahi Yusuf |
| author_facet | Karmina K. Ali Sibel Tarla Mohamed R. Ali Abdullahi Yusuf |
| author_sort | Karmina K. Ali |
| collection | DOAJ |
| description | We examine an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial derivatives in this paper. We develop various optical solutions to the equation under study using the Jacobi elliptic expansion method. We investigate the consequences of nonlinearity and spatial dispersion in spatial directions x and y. Furthermore, by investigating the stability condition of this nonlinear equation, we derive the linear stability analysis. The innovative evolutionary behaviors in the 3-dimensional profile are provided under constraint circumstances to indicate the wave propagation direction. |
| first_indexed | 2024-04-10T15:05:48Z |
| format | Article |
| id | doaj.art-d9130f9b5a6749f881bc5533872292ea |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-10T15:05:48Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-d9130f9b5a6749f881bc5533872292ea2023-02-15T04:28:01ZengElsevierResults in Physics2211-37972023-02-0145106255Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equationKarmina K. Ali0Sibel Tarla1Mohamed R. Ali2Abdullahi Yusuf3Department of Mathematics, Faculty of Science, University of Zakho, Zakho, IraqDepartment of Mathematics, Faculty of Science, Firat University, Elazig, TurkeyFaculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt; Corresponding author.Department of Computer Engineering, Biruni University, Istanbul, Turkey; Department of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonWe examine an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial derivatives in this paper. We develop various optical solutions to the equation under study using the Jacobi elliptic expansion method. We investigate the consequences of nonlinearity and spatial dispersion in spatial directions x and y. Furthermore, by investigating the stability condition of this nonlinear equation, we derive the linear stability analysis. The innovative evolutionary behaviors in the 3-dimensional profile are provided under constraint circumstances to indicate the wave propagation direction.http://www.sciencedirect.com/science/article/pii/S2211379723000487Perturbed nonlinear Schrödinger equationJacobi elliptic function expansion techniqueStability analysis |
| spellingShingle | Karmina K. Ali Sibel Tarla Mohamed R. Ali Abdullahi Yusuf Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation Results in Physics Perturbed nonlinear Schrödinger equation Jacobi elliptic function expansion technique Stability analysis |
| title | Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation |
| title_full | Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation |
| title_fullStr | Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation |
| title_full_unstemmed | Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation |
| title_short | Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation |
| title_sort | modulation instability analysis and optical solutions of an extended 2 1 dimensional perturbed nonlinear schrodinger equation |
| topic | Perturbed nonlinear Schrödinger equation Jacobi elliptic function expansion technique Stability analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723000487 |
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