Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques
This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method. Multi-waves solutions and exponential function solutions are successfully extracted. To share more light to the physical fea...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-02-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379720321859 |
| _version_ | 1831640125050716160 |
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| author | Abdullahi Yusuf Tukur Abdulkadir Sulaiman E.M. Khalil Mustafa Bayram Hijaz Ahmad |
| author_facet | Abdullahi Yusuf Tukur Abdulkadir Sulaiman E.M. Khalil Mustafa Bayram Hijaz Ahmad |
| author_sort | Abdullahi Yusuf |
| collection | DOAJ |
| description | This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method. Multi-waves solutions and exponential function solutions are successfully extracted. To share more light to the physical features of the reported results, the interaction phenomenon of these obtained solutions are demonstrated by some 3-dimensional and contour plots. All the reported results have tested to satisfy the original nonlinear partial differential equation. |
| first_indexed | 2024-12-19T12:01:21Z |
| format | Article |
| id | doaj.art-1b5d2069c3b848e2b7438598c2e4d746 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T12:01:21Z |
| publishDate | 2021-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-1b5d2069c3b848e2b7438598c2e4d7462022-12-21T20:22:28ZengElsevierResults in Physics2211-37972021-02-0121103775Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniquesAbdullahi Yusuf0Tukur Abdulkadir Sulaiman1E.M. Khalil2Mustafa Bayram3Hijaz Ahmad4Department of Computer Engineering, Biruni University, Istanbul, Turkey; Federal University Dutse, Science Faculty, Department of Mathematics, Jigawa 7156, NigeriaDepartment of Computer Engineering, Biruni University, Istanbul, Turkey; Federal University Dutse, Science Faculty, Department of Mathematics, Jigawa 7156, NigeriaDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Computer Engineering, Biruni University, Istanbul, TurkeyDepartment of Basic Sciences, University of Engineering and Technology, Peshawar 25000, Pakistan; Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy; Corresponding author at: Department of Basic Sciences, University of Engineering and Technology, Peshawar 25000, Pakistan.This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method. Multi-waves solutions and exponential function solutions are successfully extracted. To share more light to the physical features of the reported results, the interaction phenomenon of these obtained solutions are demonstrated by some 3-dimensional and contour plots. All the reported results have tested to satisfy the original nonlinear partial differential equation.http://www.sciencedirect.com/science/article/pii/S2211379720321859Three-wave methodMulti-wave solutionsHirota bilinear formKudryashov’s method |
| spellingShingle | Abdullahi Yusuf Tukur Abdulkadir Sulaiman E.M. Khalil Mustafa Bayram Hijaz Ahmad Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques Results in Physics Three-wave method Multi-wave solutions Hirota bilinear form Kudryashov’s method |
| title | Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques |
| title_full | Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques |
| title_fullStr | Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques |
| title_full_unstemmed | Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques |
| title_short | Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques |
| title_sort | construction of multi wave complexiton solutions of the kadomtsev petviashvili equation via two efficient analyzing techniques |
| topic | Three-wave method Multi-wave solutions Hirota bilinear form Kudryashov’s method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379720321859 |
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