Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation
Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of (2+1)-dimensional nonlinear partial differential equation. The resulting theory is applied to the (2+1)-dimensional Sawada-Kotera equation,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/534017 |
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| _version_ | 1832562842972192768 |
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| author | Zhonglong Zhao Yufeng Zhang Tiecheng Xia |
| author_facet | Zhonglong Zhao Yufeng Zhang Tiecheng Xia |
| author_sort | Zhonglong Zhao |
| collection | DOAJ |
| description | Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of (2+1)-dimensional nonlinear partial differential equation. The resulting theory is applied to the (2+1)-dimensional Sawada-Kotera equation, thereby yielding its double periodic wave solutions. The relations between the periodic wave solutions and soliton solutions are rigorously established by a limiting procedure. |
| format | Article |
| id | doaj-art-d32f925ff89344d29e4738c1127ac19c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d32f925ff89344d29e4738c1127ac19c2025-02-03T01:21:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/534017534017Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera EquationZhonglong Zhao0Yufeng Zhang1Tiecheng Xia2College of Sciences, China University of Mining and Technology, Xuzhou 221116, ChinaCollege of Sciences, China University of Mining and Technology, Xuzhou 221116, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaBased on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of (2+1)-dimensional nonlinear partial differential equation. The resulting theory is applied to the (2+1)-dimensional Sawada-Kotera equation, thereby yielding its double periodic wave solutions. The relations between the periodic wave solutions and soliton solutions are rigorously established by a limiting procedure.http://dx.doi.org/10.1155/2014/534017 |
| spellingShingle | Zhonglong Zhao Yufeng Zhang Tiecheng Xia Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation Abstract and Applied Analysis |
| title | Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation |
| title_full | Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation |
| title_fullStr | Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation |
| title_full_unstemmed | Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation |
| title_short | Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation |
| title_sort | double periodic wave solutions of the 2 1 dimensional sawada kotera equation |
| url | http://dx.doi.org/10.1155/2014/534017 |
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