On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations
In this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. We change the (3+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and generalized shallow water (gSW) equation into the complex differential equations by app...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5740310 |
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| _version_ | 1832547618731851776 |
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| author | Fanning Meng Yongyi Gu |
| author_facet | Fanning Meng Yongyi Gu |
| author_sort | Fanning Meng |
| collection | DOAJ |
| description | In this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. We change the (3+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and generalized shallow water (gSW) equation into the complex differential equations by applying traveling wave transform and show that meromorphic solutions of these complex differential equations belong to class W, and then, we get exact solutions of these two (3+1)-dimensional equations. |
| format | Article |
| id | doaj-art-1356375d534a44f3bd4da1930abc3a81 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1356375d534a44f3bd4da1930abc3a812025-02-03T06:43:59ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/57403105740310On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential EquationsFanning Meng0Yongyi Gu1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaBig data and Educational Statistics Application Laboratory, Guangdong University of Finance and Economics, Guangzhou 510320, ChinaIn this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. We change the (3+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and generalized shallow water (gSW) equation into the complex differential equations by applying traveling wave transform and show that meromorphic solutions of these complex differential equations belong to class W, and then, we get exact solutions of these two (3+1)-dimensional equations.http://dx.doi.org/10.1155/2020/5740310 |
| spellingShingle | Fanning Meng Yongyi Gu On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations Journal of Function Spaces |
| title | On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations |
| title_full | On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations |
| title_fullStr | On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations |
| title_full_unstemmed | On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations |
| title_short | On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations |
| title_sort | on the exact solutions of two 3 1 dimensional nonlinear differential equations |
| url | http://dx.doi.org/10.1155/2020/5740310 |
| work_keys_str_mv | AT fanningmeng ontheexactsolutionsoftwo31dimensionalnonlineardifferentialequations AT yongyigu ontheexactsolutionsoftwo31dimensionalnonlineardifferentialequations |