Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative
Nearly every area of mathematics, natural, social, and engineering now includes research into finding exact answers to nonlinear fractional differential equations (NFDES). In order to discover the exact solutions to the higher order Sasa-Satsuma equation in the sense of the beta derivative, the pape...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/11/2390 |
| _version_ | 1797463865184747520 |
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| author | Emad Fadhal Arzu Akbulut Melike Kaplan Muath Awadalla Kinda Abuasbeh |
| author_facet | Emad Fadhal Arzu Akbulut Melike Kaplan Muath Awadalla Kinda Abuasbeh |
| author_sort | Emad Fadhal |
| collection | DOAJ |
| description | Nearly every area of mathematics, natural, social, and engineering now includes research into finding exact answers to nonlinear fractional differential equations (NFDES). In order to discover the exact solutions to the higher order Sasa-Satsuma equation in the sense of the beta derivative, the paper will discuss the modified simple equation (MSE) and exponential rational function (ERF) approaches. In general, symmetry and travelling wave solutions of the Sasa-Satsuma equation have a common correlation with each other, thus we reduce equations from wave transformations to ordinary differential equations with the help of Lie symmetries. Actually, we can say that wave moves are symmetrical. The considered procedures are effective, accurate, simple, and straightforward to compute. In order to highlight the physical characteristics of the solutions, we also provide 2D and 3D plots of the results. |
| first_indexed | 2024-03-09T17:56:48Z |
| format | Article |
| id | doaj.art-0a87fb9827ae48da91407628d4fbd243 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T17:56:48Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0a87fb9827ae48da91407628d4fbd2432023-11-24T10:13:15ZengMDPI AGSymmetry2073-89942022-11-011411239010.3390/sym14112390Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta DerivativeEmad Fadhal0Arzu Akbulut1Melike Kaplan2Muath Awadalla3Kinda Abuasbeh4Department of Mathematics and Statics, Collage of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi ArabiaDepartment of Mathematics, Art-Science Faculty, Uludag University, 16059 Bursa, TurkeyDepartment of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, 37150 Kastamonu, TurkeyDepartment of Mathematics and Statics, Collage of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi ArabiaDepartment of Mathematics and Statics, Collage of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi ArabiaNearly every area of mathematics, natural, social, and engineering now includes research into finding exact answers to nonlinear fractional differential equations (NFDES). In order to discover the exact solutions to the higher order Sasa-Satsuma equation in the sense of the beta derivative, the paper will discuss the modified simple equation (MSE) and exponential rational function (ERF) approaches. In general, symmetry and travelling wave solutions of the Sasa-Satsuma equation have a common correlation with each other, thus we reduce equations from wave transformations to ordinary differential equations with the help of Lie symmetries. Actually, we can say that wave moves are symmetrical. The considered procedures are effective, accurate, simple, and straightforward to compute. In order to highlight the physical characteristics of the solutions, we also provide 2D and 3D plots of the results.https://www.mdpi.com/2073-8994/14/11/2390beta derivativesasa satsuma equationwave transformationsexact solutions |
| spellingShingle | Emad Fadhal Arzu Akbulut Melike Kaplan Muath Awadalla Kinda Abuasbeh Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative Symmetry beta derivative sasa satsuma equation wave transformations exact solutions |
| title | Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative |
| title_full | Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative |
| title_fullStr | Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative |
| title_full_unstemmed | Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative |
| title_short | Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative |
| title_sort | extraction of exact solutions of higher order sasa satsuma equation in the sense of beta derivative |
| topic | beta derivative sasa satsuma equation wave transformations exact solutions |
| url | https://www.mdpi.com/2073-8994/14/11/2390 |
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