A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equation
In this work, we perform a comprehensive analytical study to find the novel exact traveling wave solutions of the (2+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The recently developed (G′G′+G+A) -expansion technique is a capable method for finding the new exact solu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023028979 |
| _version_ | 1797815621757435904 |
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| author | Rajib Mia M. Mamun Miah M.S. Osman |
| author_facet | Rajib Mia M. Mamun Miah M.S. Osman |
| author_sort | Rajib Mia |
| collection | DOAJ |
| description | In this work, we perform a comprehensive analytical study to find the novel exact traveling wave solutions of the (2+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The recently developed (G′G′+G+A) -expansion technique is a capable method for finding the new exact solutions of assorted nonlinear evolution equations. Some new analytical solutions are obtained by utilizing the aforementioned method. The obtained solutions are expressed as trigonometric functions and exponential functions. The extracted exact wave solutions are advanced and fully unique from the earlier literature Moreover, we have presented the contour simulations, 2D and 3D graphical representations of the solution functions and we have observed that the solutions obtained are periodic and solitary wave solutions. We have shown two soliton wave solutions and two singular periodic wave solutions for the particular values of the parameters graphically. As per our knowledge, we must say that the extracted solutions might be significant and essential for new physical phenomenon. |
| first_indexed | 2024-03-13T08:25:34Z |
| format | Article |
| id | doaj.art-2b20efb2bbf84b56b174e8b33fe84e83 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T08:25:34Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-2b20efb2bbf84b56b174e8b33fe84e832023-05-31T04:45:11ZengElsevierHeliyon2405-84402023-05-0195e15690A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equationRajib Mia0M. Mamun Miah1M.S. Osman2School of Applied Sciences, Department of Mathematics, Kalinga Institute of Industrial Technology Deemed to be University, Bhubaneswar-751024, Odisha, IndiaDepartment of Mathematics, Khulna University of Engineering and Technology, Khulna-9203, Bangladesh; Division of Mathematical and Physical Sciences, Kanazawa University, Kanazawa-920-1192, Japan; Corresponding author.Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia; Corresponding author.In this work, we perform a comprehensive analytical study to find the novel exact traveling wave solutions of the (2+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The recently developed (G′G′+G+A) -expansion technique is a capable method for finding the new exact solutions of assorted nonlinear evolution equations. Some new analytical solutions are obtained by utilizing the aforementioned method. The obtained solutions are expressed as trigonometric functions and exponential functions. The extracted exact wave solutions are advanced and fully unique from the earlier literature Moreover, we have presented the contour simulations, 2D and 3D graphical representations of the solution functions and we have observed that the solutions obtained are periodic and solitary wave solutions. We have shown two soliton wave solutions and two singular periodic wave solutions for the particular values of the parameters graphically. As per our knowledge, we must say that the extracted solutions might be significant and essential for new physical phenomenon.http://www.sciencedirect.com/science/article/pii/S2405844023028979Nonlinear PDEsKP-BBM equationSoliton solutionsAnalytical solutionTraveling wave solutions |
| spellingShingle | Rajib Mia M. Mamun Miah M.S. Osman A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equation Heliyon Nonlinear PDEs KP-BBM equation Soliton solutions Analytical solution Traveling wave solutions |
| title | A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equation |
| title_full | A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equation |
| title_fullStr | A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equation |
| title_full_unstemmed | A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equation |
| title_short | A new implementation of a novel analytical method for finding the analytical solutions of the (2+1)-dimensional KP-BBM equation |
| title_sort | new implementation of a novel analytical method for finding the analytical solutions of the 2 1 dimensional kp bbm equation |
| topic | Nonlinear PDEs KP-BBM equation Soliton solutions Analytical solution Traveling wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023028979 |
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