The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations
The improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons, and multiple solitons are obtained by using...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722005836 |
| _version_ | 1798001748684570624 |
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| author | Abdulla – Al – Mamun Samsun Nahar Ananna Partha Protim Gharami Tianqing An Md. Asaduzzaman |
| author_facet | Abdulla – Al – Mamun Samsun Nahar Ananna Partha Protim Gharami Tianqing An Md. Asaduzzaman |
| author_sort | Abdulla – Al – Mamun |
| collection | DOAJ |
| description | The improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons, and multiple solitons are obtained by using the imETF method. Also, periodic solutions, singular periodic solutions, hyperbolic function solutions, rational function solutions, trigonometric function solutions, and exponential function solutions are reported. Through companionable wave transformation, the governing equations are simplified to conventional ordinary differential equations. The alternative solution relates to the earlier phase. The anticipated solution's power coefficients are compared to create a system of algebraic equations (SAE). The links between parameters and coefficients that are required to create solutions are provided by a resilient coefficients scheme. For various parameter combinations, certain solutions are modeled. |
| first_indexed | 2024-04-11T11:41:05Z |
| format | Article |
| id | doaj.art-560123b8c62e4eb3abd0c68dc3d4e105 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-11T11:41:05Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-560123b8c62e4eb3abd0c68dc3d4e1052022-12-22T04:25:50ZengElsevierResults in Physics2211-37972022-10-0141105969The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equationsAbdulla – Al – Mamun0Samsun Nahar Ananna1Partha Protim Gharami2Tianqing An3Md. Asaduzzaman4Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China; Department of Computer Science and Engineering, Northern University of Business and Technology Khulna, Khulna 9100, Bangladesh; Corresponding author at: Lecturer in Mathematics, Department of Computer Science and Engineering, Northern University of Business and Technology Khulna, Khulna 9100, Bangladesh; Mobile: +8801741183886.Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China; Department of Mathematics, Islamic University, Kushtia 7003, BangladeshDepartment of Computer Science and Engineering, Northern University of Business and Technology Khulna, Khulna 9100, BangladeshDepartment of Mathematics, College of Science, Hohai University, Nanjing 210098, PR ChinaDepartment of Mathematics, Islamic University, Kushtia 7003, BangladeshThe improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons, and multiple solitons are obtained by using the imETF method. Also, periodic solutions, singular periodic solutions, hyperbolic function solutions, rational function solutions, trigonometric function solutions, and exponential function solutions are reported. Through companionable wave transformation, the governing equations are simplified to conventional ordinary differential equations. The alternative solution relates to the earlier phase. The anticipated solution's power coefficients are compared to create a system of algebraic equations (SAE). The links between parameters and coefficients that are required to create solutions are provided by a resilient coefficients scheme. For various parameter combinations, certain solutions are modeled.http://www.sciencedirect.com/science/article/pii/S2211379722005836The improved modified extended tanh-function methodWazwaz-Benjamin-Bona-Mahony equationSolitary waveExact solutionSoliton shape |
| spellingShingle | Abdulla – Al – Mamun Samsun Nahar Ananna Partha Protim Gharami Tianqing An Md. Asaduzzaman The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations Results in Physics The improved modified extended tanh-function method Wazwaz-Benjamin-Bona-Mahony equation Solitary wave Exact solution Soliton shape |
| title | The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations |
| title_full | The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations |
| title_fullStr | The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations |
| title_full_unstemmed | The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations |
| title_short | The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations |
| title_sort | improved modified extended tanh function method to develop the exact travelling wave solutions of a family of 3d fractional wbbm equations |
| topic | The improved modified extended tanh-function method Wazwaz-Benjamin-Bona-Mahony equation Solitary wave Exact solution Soliton shape |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722005836 |
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