Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods
In this paper, we derive analytical solutions of the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation by two different systematic methods. Using the exp(-ψ(z))-expansion method, exact solutions of the mentioned equation including hyperbolic, exponential, trigonometric, and rational function s...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/9314693 |
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| _version_ | 1832564287296503808 |
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| author | Yongyi Gu Fanning Meng |
| author_facet | Yongyi Gu Fanning Meng |
| author_sort | Yongyi Gu |
| collection | DOAJ |
| description | In this paper, we derive analytical solutions of the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation by two different systematic methods. Using the exp(-ψ(z))-expansion method, exact solutions of the mentioned equation including hyperbolic, exponential, trigonometric, and rational function solutions have been obtained. Based on the work of Yuan et al., we proposed the extended complex method to seek exact solutions of the (2+1)-dimensional KP equation. The results demonstrate that the applied methods are efficient and direct methods to solve the complex nonlinear systems. |
| format | Article |
| id | doaj-art-ae109f680ba14bb89617640eeaf24ca6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ae109f680ba14bb89617640eeaf24ca62025-02-03T01:11:21ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/93146939314693Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic MethodsYongyi Gu0Fanning Meng1School of Statistics and Mathematics, Guangdong, University of Finance and Economics, Guangzhou, 510320, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaIn this paper, we derive analytical solutions of the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation by two different systematic methods. Using the exp(-ψ(z))-expansion method, exact solutions of the mentioned equation including hyperbolic, exponential, trigonometric, and rational function solutions have been obtained. Based on the work of Yuan et al., we proposed the extended complex method to seek exact solutions of the (2+1)-dimensional KP equation. The results demonstrate that the applied methods are efficient and direct methods to solve the complex nonlinear systems.http://dx.doi.org/10.1155/2019/9314693 |
| spellingShingle | Yongyi Gu Fanning Meng Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods Complexity |
| title | Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods |
| title_full | Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods |
| title_fullStr | Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods |
| title_full_unstemmed | Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods |
| title_short | Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods |
| title_sort | searching for analytical solutions of the 2 1 dimensional kp equation by two different systematic methods |
| url | http://dx.doi.org/10.1155/2019/9314693 |
| work_keys_str_mv | AT yongyigu searchingforanalyticalsolutionsofthe21dimensionalkpequationbytwodifferentsystematicmethods AT fanningmeng searchingforanalyticalsolutionsofthe21dimensionalkpequationbytwodifferentsystematicmethods |