The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation
Recently, Lin et al. (Appl. Math. Lett. 78 (2018) 112–117) established the resonant multiple-wave solution of a generalized Kadomtsev–Petviashvili (gKP) equation with applications in applied sciences using the linear superposition technique. In the present paper, according to the results obtained by...
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| Format: | Article |
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Elsevier
2024-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124000330 |
| _version_ | 1797260334590853120 |
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| author | K. Hosseini E. Hincal K. Sadri F. Rabiei M. Ilie A. Akgül M.S. Osman |
| author_facet | K. Hosseini E. Hincal K. Sadri F. Rabiei M. Ilie A. Akgül M.S. Osman |
| author_sort | K. Hosseini |
| collection | DOAJ |
| description | Recently, Lin et al. (Appl. Math. Lett. 78 (2018) 112–117) established the resonant multiple-wave solution of a generalized Kadomtsev–Petviashvili (gKP) equation with applications in applied sciences using the linear superposition technique. In the present paper, according to the results obtained by Lin et al. and adopting a systematic method established by Zhou and Manukure, the positive multi-complexiton solution to the generalized Kadomtsev–Petviashvili equation is constructed for the first time. Several simulations in three dimensions are conducted formally in order to examine the dynamic behavior of positive multi-complexiton solutions, particularly the positive single-, double-, and triple-complexion waves. The current research outcomes definitely will enrich studies related to the gKP equation and its exact solutions. |
| first_indexed | 2024-04-24T23:23:40Z |
| format | Article |
| id | doaj.art-491ccbd47aa340a2bf3949d04f3375ee |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-24T23:23:40Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-491ccbd47aa340a2bf3949d04f3375ee2024-03-16T05:09:37ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-03-019100647The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equationK. Hosseini0E. Hincal1K. Sadri2F. Rabiei3M. Ilie4A. Akgül5M.S. Osman6Department of Mathematics, Near East University TRNC, 10, Mersin, Turkey; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Corresponding author at: Department of Mathematics, Near East University TRNC, 10, Mersin, Turkey.Department of Mathematics, Near East University TRNC, 10, Mersin, TurkeyDepartment of Mathematics, Near East University TRNC, 10, Mersin, TurkeyDepartment of Mathematics, Texas A&M University Kingsville, Kingsville, TX 78363, USA; School of Engineering, Monash University Malaysia, Selangor 47500, MalaysiaDepartment of Mathematics, Rasht Branch, Islamic Azad University, Rasht, IranDepartment of Mathematics, Siirt University, Art and Science Faculty, Siirt 56100, Turkey; Mathematics Research Center, Department of Mathematics, Near East Boulevard PC, Near East University, 10, Nicosia, Mersin 99138, TurkeyDepartment of Mathematics, Faculty of Science, Cairo University, Giza 12613, EgyptRecently, Lin et al. (Appl. Math. Lett. 78 (2018) 112–117) established the resonant multiple-wave solution of a generalized Kadomtsev–Petviashvili (gKP) equation with applications in applied sciences using the linear superposition technique. In the present paper, according to the results obtained by Lin et al. and adopting a systematic method established by Zhou and Manukure, the positive multi-complexiton solution to the generalized Kadomtsev–Petviashvili equation is constructed for the first time. Several simulations in three dimensions are conducted formally in order to examine the dynamic behavior of positive multi-complexiton solutions, particularly the positive single-, double-, and triple-complexion waves. The current research outcomes definitely will enrich studies related to the gKP equation and its exact solutions.http://www.sciencedirect.com/science/article/pii/S2666818124000330gKP equationLinear superposition techniqueResonant multiple-wave solutionPositive multi-complexiton solutionDynamic behavior |
| spellingShingle | K. Hosseini E. Hincal K. Sadri F. Rabiei M. Ilie A. Akgül M.S. Osman The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation Partial Differential Equations in Applied Mathematics gKP equation Linear superposition technique Resonant multiple-wave solution Positive multi-complexiton solution Dynamic behavior |
| title | The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation |
| title_full | The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation |
| title_fullStr | The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation |
| title_full_unstemmed | The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation |
| title_short | The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation |
| title_sort | positive multi complexiton solution to a generalized kadomtsev petviashvili equation |
| topic | gKP equation Linear superposition technique Resonant multiple-wave solution Positive multi-complexiton solution Dynamic behavior |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124000330 |
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