Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation
This paper is devoted to the study of lump solutions to the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation. First we use a direct method to construct a class of exact solutions which contain six arbitrary real constants. Then we use these solutions to generate lump solutions wi...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7843498 |
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| _version_ | 1832553942636036096 |
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| author | Xifang Cao |
| author_facet | Xifang Cao |
| author_sort | Xifang Cao |
| collection | DOAJ |
| description | This paper is devoted to the study of lump solutions to the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation. First we use a direct method to construct a class of exact solutions which contain six arbitrary real constants. Then we use these solutions to generate lump solutions with four real parameters. We also determine the amplitude and velocity of these lumps. |
| format | Article |
| id | doaj-art-5f1828a4e08b4301a4f05c72f068d240 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5f1828a4e08b4301a4f05c72f068d2402025-02-03T05:52:45ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/78434987843498Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili EquationXifang Cao0School of Mathematical Sciences, Yangzhou University, ChinaThis paper is devoted to the study of lump solutions to the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation. First we use a direct method to construct a class of exact solutions which contain six arbitrary real constants. Then we use these solutions to generate lump solutions with four real parameters. We also determine the amplitude and velocity of these lumps.http://dx.doi.org/10.1155/2018/7843498 |
| spellingShingle | Xifang Cao Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation Advances in Mathematical Physics |
| title | Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_full | Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_fullStr | Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_full_unstemmed | Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_short | Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_sort | lump solutions to the 3 1 dimensional generalized b type kadomtsev petviashvili equation |
| url | http://dx.doi.org/10.1155/2018/7843498 |
| work_keys_str_mv | AT xifangcao lumpsolutionstothe31dimensionalgeneralizedbtypekadomtsevpetviashviliequation |