The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexiton
In the present paper, the (2+1)-dimensional potential Kadomtsev–Petviashvili equation (2D-pKPE) that arises in the vast areas of applied sciences is explored. First, by employing particular transformations, the equivalent structures of the 2D-pKPE are constructed. Solitons and complexiton of the 2D-...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000304 |
| _version_ | 1818204797244801024 |
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| author | K. Hosseini K. Sadri F. Rabiei M. Mirzazadeh |
| author_facet | K. Hosseini K. Sadri F. Rabiei M. Mirzazadeh |
| author_sort | K. Hosseini |
| collection | DOAJ |
| description | In the present paper, the (2+1)-dimensional potential Kadomtsev–Petviashvili equation (2D-pKPE) that arises in the vast areas of applied sciences is explored. First, by employing particular transformations, the equivalent structures of the 2D-pKPE are constructed. Solitons and complexiton of the 2D-pKPE are then extracted using Hirota and exponential methods. In the end, Ma’s algorithm is formally employed to prove the Hirota N-soliton condition of the 2D-pKPE. |
| first_indexed | 2024-12-12T03:46:57Z |
| format | Article |
| id | doaj.art-5c79d738601d438dabcb422c3a33f4a7 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-12-12T03:46:57Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-5c79d738601d438dabcb422c3a33f4a72022-12-22T00:39:30ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-06-015100316The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexitonK. Hosseini0K. Sadri1F. Rabiei2M. Mirzazadeh3Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran; Corresponding authors.Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, IranSchool of Engineering, Monash University Malaysia, Selangor 47500, MalaysiaDepartment of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran; Corresponding authors.In the present paper, the (2+1)-dimensional potential Kadomtsev–Petviashvili equation (2D-pKPE) that arises in the vast areas of applied sciences is explored. First, by employing particular transformations, the equivalent structures of the 2D-pKPE are constructed. Solitons and complexiton of the 2D-pKPE are then extracted using Hirota and exponential methods. In the end, Ma’s algorithm is formally employed to prove the Hirota N-soliton condition of the 2D-pKPE.http://www.sciencedirect.com/science/article/pii/S2666818122000304(2+1)-dimensional potential Kadomtsev–Petviashvili equationParticular transformationsHirota and exponential methodsSolitons and complexitonHirota N-soliton condition |
| spellingShingle | K. Hosseini K. Sadri F. Rabiei M. Mirzazadeh The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexiton Partial Differential Equations in Applied Mathematics (2+1)-dimensional potential Kadomtsev–Petviashvili equation Particular transformations Hirota and exponential methods Solitons and complexiton Hirota N-soliton condition |
| title | The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexiton |
| title_full | The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexiton |
| title_fullStr | The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexiton |
| title_full_unstemmed | The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexiton |
| title_short | The (2+1)-dimensional potential Kadomtsev–Petviashvili equation: Its solitons and complexiton |
| title_sort | 2 1 dimensional potential kadomtsev petviashvili equation its solitons and complexiton |
| topic | (2+1)-dimensional potential Kadomtsev–Petviashvili equation Particular transformations Hirota and exponential methods Solitons and complexiton Hirota N-soliton condition |
| url | http://www.sciencedirect.com/science/article/pii/S2666818122000304 |
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