| Periodic folded waves for a （2＋1）-dimensional modified dispersive water wave equation |
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| 引用本文： | 黄文华. Periodic folded waves for a （2＋1）-dimensional modified dispersive water wave equation[J]. 中国物理 B, 2009, 18(8): 3163-3168. DOI: 10.1088/1674-1056/18/8/012 |
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| 作者姓名： | 黄文华 |
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| 作者单位： | School of Science, Huzhou University, Huzhou 313000,China |
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| 基金项目： | Project supported in part byNational Natural Science Foundation of China (Grant No 10772110). |
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| 摘 要： | A general solution, including three arbitrary functions, is obtainedfor a (2+1)-dimensional modified dispersive water-wave (MDWW)equation by means of the WTC truncation method. Introducing propermultiple valued functions and Jacobi elliptic functions in the seedsolution, special types of periodic folded waves are derived. In thelong wave limit these periodic folded wave patterns may degenerateinto single localized folded solitary wave excitations. Theinteractions of the periodic folded waves and the degeneratedsingle folded solitary waves are investigated graphically and foundto be completely elastic.
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| 关 键 词： | modified dispersive water-wave equation WTC truncation method periodic folded wave |
| 收稿时间： | 2008-08-24 |
Periodic folded waves for (2+1)-dimensional modified dispersive water wave equation |
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| Huang Wen-Hua. Periodic folded waves for (2+1)-dimensional modified dispersive water wave equation[J]. Chinese Physics B, 2009, 18(8): 3163-3168. DOI: 10.1088/1674-1056/18/8/012 |
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| Authors: | Huang Wen-Hua |
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| Affiliation: | School of Science, Huzhou University, Huzhou 313000, China |
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| Abstract: | A general solution, including three arbitrary functions, is obtainedfor a (2+1)-dimensional modified dispersive water-wave (MDWW)equation by means of the WTC truncation method. Introducing propermultiple valued functions and Jacobi elliptic functions in the seedsolution, special types of periodic folded waves are derived. In thelong wave limit these periodic folded wave patterns may degenerateinto single localized folded solitary wave excitations. Theinteractions of the periodic folded waves and the degeneratedsingle folded solitary waves are investigated graphically and foundto be completely elastic. |
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| Keywords: | modified dispersive water-waveequation WTC truncation method periodic folded wave |
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