Application of the unified method to solve the Biswas–Arshed model
We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model (BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential form of this model from its partial differential form via a variable transformation. Then we add many new dynamic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722005630 |
| _version_ | 1797990889872687104 |
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| author | Mohammad Safi Ullah Alrazi Abdeljabbar Harun-Or Roshid M. Zulfikar Ali |
| author_facet | Mohammad Safi Ullah Alrazi Abdeljabbar Harun-Or Roshid M. Zulfikar Ali |
| author_sort | Mohammad Safi Ullah |
| collection | DOAJ |
| description | We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model (BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential form of this model from its partial differential form via a variable transformation. Then we add many new dynamical solitons of combo trigonometric, hyperbolic, and rational function solutions by Maple-18 package in this literature. The derived solutions exhibit some dynamics as singular solitons with exponentially increasing and decreasing amplitudes, singular solitons with gradually increasing and decreasing amplitudes, and singular solitons with constant amplitudes. Moreover, W-shaped solitons with multiple bright and dark waves, double periodic optical solitons with exponentially increasing and decreasing amplitudes, and double periods with symmetric and asymmetric amplitudes are obtained. Besides this, various dynamical properties of the obtained solutions are presented graphically. |
| first_indexed | 2024-04-11T08:43:42Z |
| format | Article |
| id | doaj.art-ea388092c91c46c48f7921caabdd7546 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-11T08:43:42Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-ea388092c91c46c48f7921caabdd75462022-12-22T04:34:02ZengElsevierResults in Physics2211-37972022-11-0142105946Application of the unified method to solve the Biswas–Arshed modelMohammad Safi Ullah0Alrazi Abdeljabbar1Harun-Or Roshid2M. Zulfikar Ali3Department of Mathematics, Comilla University, Cumilla 3506, Bangladesh; Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh; Corresponding author at: Department of Mathematics, Comilla University, Cumilla 3506, Bangladesh.Department of Mathematics, Khalifa University of Science and Technology, Abu Dhabi 127788, United Arab EmiratesDepartment of Mathematics, Pabna University of Science and Technology, Pabna 6600, BangladeshDepartment of Mathematics, University of Rajshahi, Rajshahi 6205, BangladeshWe apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model (BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential form of this model from its partial differential form via a variable transformation. Then we add many new dynamical solitons of combo trigonometric, hyperbolic, and rational function solutions by Maple-18 package in this literature. The derived solutions exhibit some dynamics as singular solitons with exponentially increasing and decreasing amplitudes, singular solitons with gradually increasing and decreasing amplitudes, and singular solitons with constant amplitudes. Moreover, W-shaped solitons with multiple bright and dark waves, double periodic optical solitons with exponentially increasing and decreasing amplitudes, and double periods with symmetric and asymmetric amplitudes are obtained. Besides this, various dynamical properties of the obtained solutions are presented graphically.http://www.sciencedirect.com/science/article/pii/S2211379722005630Unified methodBiswas–Arshed model (BAM)Optical solitonsSingular solitons |
| spellingShingle | Mohammad Safi Ullah Alrazi Abdeljabbar Harun-Or Roshid M. Zulfikar Ali Application of the unified method to solve the Biswas–Arshed model Results in Physics Unified method Biswas–Arshed model (BAM) Optical solitons Singular solitons |
| title | Application of the unified method to solve the Biswas–Arshed model |
| title_full | Application of the unified method to solve the Biswas–Arshed model |
| title_fullStr | Application of the unified method to solve the Biswas–Arshed model |
| title_full_unstemmed | Application of the unified method to solve the Biswas–Arshed model |
| title_short | Application of the unified method to solve the Biswas–Arshed model |
| title_sort | application of the unified method to solve the biswas arshed model |
| topic | Unified method Biswas–Arshed model (BAM) Optical solitons Singular solitons |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722005630 |
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