Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation
By employing Hirota bilinear method, we mainly discuss the (3+1)-dimensional potential-YTSF equation and discrete KP equation. For the former, we use the linear superposition principle to get its N exponential wave solutions. In virtue of some Riemann theta function formulas, we also construct its q...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/142027 |
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| _version_ | 1850166189525827584 |
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| author | Yan Wang Zhenhui Wang |
| author_facet | Yan Wang Zhenhui Wang |
| author_sort | Yan Wang |
| collection | DOAJ |
| description | By employing Hirota bilinear method, we mainly discuss the (3+1)-dimensional potential-YTSF equation and discrete KP equation. For the former, we use the linear superposition principle to get its N exponential wave solutions. In virtue of some Riemann theta function formulas, we also construct its quasiperiodic solutions and analyze the asymptotic properties of these solutions. For the latter, by using certain variable transformations and identities of the theta functions, we explicitly investigate its periodic waves solutions in terms of one-theta function and two-theta functions. |
| format | Article |
| id | doaj-art-dd67103bfa8f4d12acb97af7b1b3787b |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dd67103bfa8f4d12acb97af7b1b3787b2025-08-20T02:21:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/142027142027Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili EquationYan Wang0Zhenhui Wang1Department of Mathematics, Shanghai University, Shanghai 200444, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, ChinaBy employing Hirota bilinear method, we mainly discuss the (3+1)-dimensional potential-YTSF equation and discrete KP equation. For the former, we use the linear superposition principle to get its N exponential wave solutions. In virtue of some Riemann theta function formulas, we also construct its quasiperiodic solutions and analyze the asymptotic properties of these solutions. For the latter, by using certain variable transformations and identities of the theta functions, we explicitly investigate its periodic waves solutions in terms of one-theta function and two-theta functions.http://dx.doi.org/10.1155/2013/142027 |
| spellingShingle | Yan Wang Zhenhui Wang Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation Journal of Applied Mathematics |
| title | Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation |
| title_full | Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation |
| title_fullStr | Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation |
| title_full_unstemmed | Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation |
| title_short | Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation |
| title_sort | exact solutions for 3 1 dimensional potential ytsf equation and discrete kadomtsev petviashvili equation |
| url | http://dx.doi.org/10.1155/2013/142027 |
| work_keys_str_mv | AT yanwang exactsolutionsfor31dimensionalpotentialytsfequationanddiscretekadomtsevpetviashviliequation AT zhenhuiwang exactsolutionsfor31dimensionalpotentialytsfequationanddiscretekadomtsevpetviashviliequation |