Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm
The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from...
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/1/138 |
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| author | Alyaa A. Al-Qarni Huda O. Bakodah Aisha A. Alshaery Anjan Biswas Yakup Yıldırım Luminita Moraru Simona Moldovanu |
| author_facet | Alyaa A. Al-Qarni Huda O. Bakodah Aisha A. Alshaery Anjan Biswas Yakup Yıldırım Luminita Moraru Simona Moldovanu |
| author_sort | Alyaa A. Al-Qarni |
| collection | DOAJ |
| description | The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy. |
| first_indexed | 2024-03-10T03:32:00Z |
| format | Article |
| id | doaj.art-90cb8648e4bf4909ba90c286879eca52 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:32:00Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-90cb8648e4bf4909ba90c286879eca522023-11-23T11:54:44ZengMDPI AGMathematics2227-73902022-01-0110113810.3390/math10010138Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition AlgorithmAlyaa A. Al-Qarni0Huda O. Bakodah1Aisha A. Alshaery2Anjan Biswas3Yakup Yıldırım4Luminita Moraru5Simona Moldovanu6Department of Mathematics, College of Science, University of Bisha, P.O. Box 551, Bisha 61922, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi ArabiaDepartment of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, RussiaDepartment of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, CyprusFaculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, RomaniaDepartment of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, RomaniaThe current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.https://www.mdpi.com/2227-7390/10/1/138improved adomian decomposition methodoptical solitonFokas–Lenells equationscubic-quartic optical solitons |
| spellingShingle | Alyaa A. Al-Qarni Huda O. Bakodah Aisha A. Alshaery Anjan Biswas Yakup Yıldırım Luminita Moraru Simona Moldovanu Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm Mathematics improved adomian decomposition method optical soliton Fokas–Lenells equations cubic-quartic optical solitons |
| title | Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm |
| title_full | Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm |
| title_fullStr | Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm |
| title_full_unstemmed | Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm |
| title_short | Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm |
| title_sort | numerical simulation of cubic quartic optical solitons with perturbed fokas lenells equation using improved adomian decomposition algorithm |
| topic | improved adomian decomposition method optical soliton Fokas–Lenells equations cubic-quartic optical solitons |
| url | https://www.mdpi.com/2227-7390/10/1/138 |
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