Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method
The recently introduced technique, namely, the extended complex method, is used to explore exact solutions for the generalized fifth-order KdV equation. Appropriately, the rational, periodic, and elliptic function solutions are obtained by this technique. The 3D graphs explain the different physical...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5549288 |
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| _version_ | 1850225489925373952 |
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| author | Mehvish Fazal Ur Rehman Yongyi Gu Wenjun Yuan |
| author_facet | Mehvish Fazal Ur Rehman Yongyi Gu Wenjun Yuan |
| author_sort | Mehvish Fazal Ur Rehman |
| collection | DOAJ |
| description | The recently introduced technique, namely, the extended complex method, is used to explore exact solutions for the generalized fifth-order KdV equation. Appropriately, the rational, periodic, and elliptic function solutions are obtained by this technique. The 3D graphs explain the different physical phenomena to the exact solutions of this equation. This idea specifies that the extended complex method can acquire exact solutions of several differential equations in engineering. These results reveal that the extended complex method can be directly and easily used to solve further higher-order nonlinear partial differential equations (NLPDEs). All computer simulations are constructed by maple packages. |
| format | Article |
| id | doaj-art-58f231e0d44347529c09f4bd5d4fa9ed |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-58f231e0d44347529c09f4bd5d4fa9ed2025-08-20T02:05:20ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55492885549288Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex MethodMehvish Fazal Ur Rehman0Yongyi Gu1Wenjun Yuan2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaBig Data and Educational Statistics Application Laboratory, Guangdong University of Finance and Economics, Guangzhou 510320, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaThe recently introduced technique, namely, the extended complex method, is used to explore exact solutions for the generalized fifth-order KdV equation. Appropriately, the rational, periodic, and elliptic function solutions are obtained by this technique. The 3D graphs explain the different physical phenomena to the exact solutions of this equation. This idea specifies that the extended complex method can acquire exact solutions of several differential equations in engineering. These results reveal that the extended complex method can be directly and easily used to solve further higher-order nonlinear partial differential equations (NLPDEs). All computer simulations are constructed by maple packages.http://dx.doi.org/10.1155/2021/5549288 |
| spellingShingle | Mehvish Fazal Ur Rehman Yongyi Gu Wenjun Yuan Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method Journal of Function Spaces |
| title | Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method |
| title_full | Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method |
| title_fullStr | Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method |
| title_full_unstemmed | Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method |
| title_short | Exact Analytical Solutions of Generalized Fifth-Order KdV Equation by the Extended Complex Method |
| title_sort | exact analytical solutions of generalized fifth order kdv equation by the extended complex method |
| url | http://dx.doi.org/10.1155/2021/5549288 |
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