Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation
In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry reductions. Based on these symmetry reductions, some...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/3465860 |
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| _version_ | 1832550885452939264 |
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| author | Huizhang Yang Wei Liu Yunmei Zhao |
| author_facet | Huizhang Yang Wei Liu Yunmei Zhao |
| author_sort | Huizhang Yang |
| collection | DOAJ |
| description | In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry reductions. Based on these symmetry reductions, some exact traveling wave solutions are obtained by using the tanh method and Kudryashov method. Finally, the conservation laws to the (3 + 1)-dimensional generalized BKP equation are presented by invoking the multiplier method. |
| format | Article |
| id | doaj-art-1b3834853db74f21bbf0dfd7e685d303 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-1b3834853db74f21bbf0dfd7e685d3032025-02-03T06:05:28ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/34658603465860Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili EquationHuizhang Yang0Wei Liu1Yunmei Zhao2College of Mathematics, Honghe University, Mengzi, Yunnan 661199, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661199, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661199, ChinaIn this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry reductions. Based on these symmetry reductions, some exact traveling wave solutions are obtained by using the tanh method and Kudryashov method. Finally, the conservation laws to the (3 + 1)-dimensional generalized BKP equation are presented by invoking the multiplier method.http://dx.doi.org/10.1155/2020/3465860 |
| spellingShingle | Huizhang Yang Wei Liu Yunmei Zhao Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation Complexity |
| title | Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_full | Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_fullStr | Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_full_unstemmed | Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_short | Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation |
| title_sort | lie symmetry analysis traveling wave solutions and conservation laws to the 3 1 dimensional generalized b type kadomtsev petviashvili equation |
| url | http://dx.doi.org/10.1155/2020/3465860 |
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