Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches
The Kundu–Mukherjee–Naskar (KMN) model is considered for describing the pulse propagation in optical fibres and communication systems. Two efficient approaches via the exp (−φ(ξ))-expansion and the improved F-expansion schemes are applied to the KMN model and in order to convert the KMN equation to...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000742 |
| _version_ | 1811201508290592768 |
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| author | Md Habibul Bashar S.M. Yiasir Arafat S.M. Rayhanul Islam Saiful Islam M.M. Rahman |
| author_facet | Md Habibul Bashar S.M. Yiasir Arafat S.M. Rayhanul Islam Saiful Islam M.M. Rahman |
| author_sort | Md Habibul Bashar |
| collection | DOAJ |
| description | The Kundu–Mukherjee–Naskar (KMN) model is considered for describing the pulse propagation in optical fibres and communication systems. Two efficient approaches via the exp (−φ(ξ))-expansion and the improved F-expansion schemes are applied to the KMN model and in order to convert the KMN equation to an ODE, we test the complex wave conversions and present some optical soliton solutions, which are expressed in terms of hyperbolic, rational and trigonometric functions. We create three dimensional and two-dimensional images to explain the underlying optical wave properties of the KMN equation and compare our solutions with the ones in the literature. Our example shows that the two adopted methods provide an efficient mathematical tool for constructing new optical wave solutions to nonlinear partial differential equations arising in fibre optic communication systems. |
| first_indexed | 2024-04-12T02:22:50Z |
| format | Article |
| id | doaj.art-e24921d1b39944d087bf6251b4e53dd0 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-12T02:22:50Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-e24921d1b39944d087bf6251b4e53dd02022-12-22T03:52:05ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-12-016100404Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approachesMd Habibul Bashar0S.M. Yiasir Arafat1S.M. Rayhanul Islam2Saiful Islam3M.M. Rahman4Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh; Department of Mathematics, European University of Bangladesh, Dhaka, BangladeshDepartment of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, Pabna 6600, BangladeshDepartment of Computer Science and Engineering, Stamford University Bangladesh, Dhaka, BangladeshDepartment of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh; Corresponding author.The Kundu–Mukherjee–Naskar (KMN) model is considered for describing the pulse propagation in optical fibres and communication systems. Two efficient approaches via the exp (−φ(ξ))-expansion and the improved F-expansion schemes are applied to the KMN model and in order to convert the KMN equation to an ODE, we test the complex wave conversions and present some optical soliton solutions, which are expressed in terms of hyperbolic, rational and trigonometric functions. We create three dimensional and two-dimensional images to explain the underlying optical wave properties of the KMN equation and compare our solutions with the ones in the literature. Our example shows that the two adopted methods provide an efficient mathematical tool for constructing new optical wave solutions to nonlinear partial differential equations arising in fibre optic communication systems.http://www.sciencedirect.com/science/article/pii/S2666818122000742The KMN equationThe exp (−φ(ξ))-expansion methodThe improved F-expansion methodOptical soliton solutions |
| spellingShingle | Md Habibul Bashar S.M. Yiasir Arafat S.M. Rayhanul Islam Saiful Islam M.M. Rahman Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches Partial Differential Equations in Applied Mathematics The KMN equation The exp (−φ(ξ))-expansion method The improved F-expansion method Optical soliton solutions |
| title | Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches |
| title_full | Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches |
| title_fullStr | Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches |
| title_full_unstemmed | Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches |
| title_short | Extraction of some optical solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation by two efficient approaches |
| title_sort | extraction of some optical solutions to the 2 1 dimensional kundu mukherjee naskar equation by two efficient approaches |
| topic | The KMN equation The exp (−φ(ξ))-expansion method The improved F-expansion method Optical soliton solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2666818122000742 |
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