Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation
In the field of mathematical physics, the Riccati sub-equation method is an important tool for locating the analytical solutions of nonlinear space–time fractional equations. In this study, we provide the Riccati sub-equation method for solving the space–time fractional equation by means of the Ablo...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124000585 |
| _version_ | 1797215867653586944 |
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| author | Sirasrete Phoosree Nattinee Khongnual Jiraporn Sanjun Athassawat Kammanee Weerachai Thadee |
| author_facet | Sirasrete Phoosree Nattinee Khongnual Jiraporn Sanjun Athassawat Kammanee Weerachai Thadee |
| author_sort | Sirasrete Phoosree |
| collection | DOAJ |
| description | In the field of mathematical physics, the Riccati sub-equation method is an important tool for locating the analytical solutions of nonlinear space–time fractional equations. In this study, we provide the Riccati sub-equation method for solving the space–time fractional equation by means of the Ablowitz–Kaup–Newell–Segur (AKNS) equation and the generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony (GZK-BBM) equation, which explain the effect of flood waves and plasma physics, respectively, and reach new analytical solutions, including parameters. Each equation yields fifteen different solutions, which are in the form of generalized hyperbolic functions, generalized triangular functions, and rational functions. The effect of the arising graphs of both equations is in the form of kink waves and periodic waves, which are presented in 2D and 3D graphs. |
| first_indexed | 2024-04-24T11:36:54Z |
| format | Article |
| id | doaj.art-050195e66aaf4c9099d1619de3756087 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-24T11:36:54Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-050195e66aaf4c9099d1619de37560872024-04-10T04:29:31ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-06-0110100672Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equationSirasrete Phoosree0Nattinee Khongnual1Jiraporn Sanjun2Athassawat Kammanee3Weerachai Thadee4Education Program in Mathematics, Faculty of Education, Suratthani Rajabhat University, Suratthani 84100, ThailandDepartment of Mathematics, Faculty of Science and Technology, Nakhon Si Thammarat Rajabhat University, Nakhon Si Thammarat, 80280, ThailandDepartment of Mathematics, Faculty of Science and Technology, Suratthani Rajabhat University, Suratthani, 84100, ThailandDivision of Computational Science (Mathematics), Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla, 90110, ThailandDepartment of General Education, Faculty of Liberal Arts, Rajamangala University of Technology Srivijaya, Songkhla 90000, Thailand; Corresponding author.In the field of mathematical physics, the Riccati sub-equation method is an important tool for locating the analytical solutions of nonlinear space–time fractional equations. In this study, we provide the Riccati sub-equation method for solving the space–time fractional equation by means of the Ablowitz–Kaup–Newell–Segur (AKNS) equation and the generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony (GZK-BBM) equation, which explain the effect of flood waves and plasma physics, respectively, and reach new analytical solutions, including parameters. Each equation yields fifteen different solutions, which are in the form of generalized hyperbolic functions, generalized triangular functions, and rational functions. The effect of the arising graphs of both equations is in the form of kink waves and periodic waves, which are presented in 2D and 3D graphs.http://www.sciencedirect.com/science/article/pii/S2666818124000585Riccati sub-equation methodFractional partial differential equationsAnalytical solutionsAblowitz–Kaup–Newell–Segur equationGeneralized Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation |
| spellingShingle | Sirasrete Phoosree Nattinee Khongnual Jiraporn Sanjun Athassawat Kammanee Weerachai Thadee Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation Partial Differential Equations in Applied Mathematics Riccati sub-equation method Fractional partial differential equations Analytical solutions Ablowitz–Kaup–Newell–Segur equation Generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation |
| title | Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation |
| title_full | Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation |
| title_fullStr | Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation |
| title_full_unstemmed | Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation |
| title_short | Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation |
| title_sort | riccati sub equation method for solving fractional flood wave equation and fractional plasma physics equation |
| topic | Riccati sub-equation method Fractional partial differential equations Analytical solutions Ablowitz–Kaup–Newell–Segur equation Generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124000585 |
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