Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method
In this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the nonlinear partial differential form of the cu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447923004021 |
| _version_ | 1797253985856389120 |
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| author | Hisham H. Hussein Hamdy M. Ahmed Wassim Alexan |
| author_facet | Hisham H. Hussein Hamdy M. Ahmed Wassim Alexan |
| author_sort | Hisham H. Hussein |
| collection | DOAJ |
| description | In this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the nonlinear partial differential form of the cubic-quartic Lakshmanan-Porsezian-Daniel equation is transformed into an ordinary differential equation. Then applying the proposed methods bright, dark, bright-dark, periodic, singular, and Jacobian elliptic solutions were derived as analytical solutions. Besides, hyperbolic, rational, trigonometric, and exponential functions were also obtained. In order to understand the obtained solutions, graphical simulations were depicted by 3D surfaces and 2D graphs. |
| first_indexed | 2024-03-09T07:35:28Z |
| format | Article |
| id | doaj.art-991ad4d5028d47f79388b3b088b1d808 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-24T21:42:46Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-991ad4d5028d47f79388b3b088b1d8082024-03-21T05:36:26ZengElsevierAin Shams Engineering Journal2090-44792024-03-01153102513Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function methodHisham H. Hussein0Hamdy M. Ahmed1Wassim Alexan2Faculty of Mathematical and Computational Sciences, Universities of Canada in Egypt (UCE), New Administrative Capital, Cairo, Egypt; Corresponding author.Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, El-Shorouk City, Cairo, EgyptFaculty of Information Engineering and Technology, The German University in Cairo (GUC), Cairo, Egypt; Department of Mathematics, The German International University (GIU), New Administrative Capital, Cairo, EgyptIn this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the nonlinear partial differential form of the cubic-quartic Lakshmanan-Porsezian-Daniel equation is transformed into an ordinary differential equation. Then applying the proposed methods bright, dark, bright-dark, periodic, singular, and Jacobian elliptic solutions were derived as analytical solutions. Besides, hyperbolic, rational, trigonometric, and exponential functions were also obtained. In order to understand the obtained solutions, graphical simulations were depicted by 3D surfaces and 2D graphs.http://www.sciencedirect.com/science/article/pii/S2090447923004021Nonlinear Schrödinger equationImproved modified extended tanh–function methodAuxiliary equationOptical solitonsAnalytical solutionsTravelling waves structures |
| spellingShingle | Hisham H. Hussein Hamdy M. Ahmed Wassim Alexan Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method Ain Shams Engineering Journal Nonlinear Schrödinger equation Improved modified extended tanh–function method Auxiliary equation Optical solitons Analytical solutions Travelling waves structures |
| title | Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method |
| title_full | Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method |
| title_fullStr | Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method |
| title_full_unstemmed | Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method |
| title_short | Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method |
| title_sort | analytical soliton solutions for cubic quartic perturbations of the lakshmanan porsezian daniel equation using the modified extended tanh function method |
| topic | Nonlinear Schrödinger equation Improved modified extended tanh–function method Auxiliary equation Optical solitons Analytical solutions Travelling waves structures |
| url | http://www.sciencedirect.com/science/article/pii/S2090447923004021 |
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