New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions
In this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model is examined. The bilinear form is applied for investigating multiple-soliton solutions. Mo...
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MDPI AG
2023-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/15/3395 |
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| author | Abdul-Majid Wazwaz Ma’mon Abu Hammad Ali O. Al-Ghamdi Mansoor H. Alshehri Samir A. El-Tantawy |
| author_facet | Abdul-Majid Wazwaz Ma’mon Abu Hammad Ali O. Al-Ghamdi Mansoor H. Alshehri Samir A. El-Tantawy |
| author_sort | Abdul-Majid Wazwaz |
| collection | DOAJ |
| description | In this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model is examined. The bilinear form is applied for investigating multiple-soliton solutions. Moreover, we employ the positive quadratic function method to create a class of lump solutions using distinct parameters values. The current study serves as a guide to explain many nonlinear phenomena that arise in numerous scientific domains, such as fluid mechanics; physics of plasmas, oceans, and seas; and so on. |
| first_indexed | 2024-03-11T00:22:34Z |
| format | Article |
| id | doaj.art-8452f34e39424d5ba3bc0874ff64fbd4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:22:34Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-8452f34e39424d5ba3bc0874ff64fbd42023-11-18T23:16:05ZengMDPI AGMathematics2227-73902023-08-011115339510.3390/math11153395New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump SolutionsAbdul-Majid Wazwaz0Ma’mon Abu Hammad1Ali O. Al-Ghamdi2Mansoor H. Alshehri3Samir A. El-Tantawy4Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USADepartment of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, JordanBiology Department, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University, Al-Baha 1988, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Physics, Faculty of Science, Port Said University, Port Said 42521, EgyptIn this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model is examined. The bilinear form is applied for investigating multiple-soliton solutions. Moreover, we employ the positive quadratic function method to create a class of lump solutions using distinct parameters values. The current study serves as a guide to explain many nonlinear phenomena that arise in numerous scientific domains, such as fluid mechanics; physics of plasmas, oceans, and seas; and so on.https://www.mdpi.com/2227-7390/11/15/3395Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equationPainlevé testLax integrabilitylump solutionsmultiple soliton solutions |
| spellingShingle | Abdul-Majid Wazwaz Ma’mon Abu Hammad Ali O. Al-Ghamdi Mansoor H. Alshehri Samir A. El-Tantawy New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions Mathematics Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation Painlevé test Lax integrability lump solutions multiple soliton solutions |
| title | New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions |
| title_full | New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions |
| title_fullStr | New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions |
| title_full_unstemmed | New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions |
| title_short | New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions |
| title_sort | new 3 1 dimensional kadomtsev petviashvili sawada kotera ramani equation multiple soliton and lump solutions |
| topic | Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation Painlevé test Lax integrability lump solutions multiple soliton solutions |
| url | https://www.mdpi.com/2227-7390/11/15/3395 |
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