| 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. |
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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 by
National Natural Science Foundation of China (Grant No 10772110). |
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| 摘 要： | A general solution, including three arbitrary functions, is obtained
for a (2+1)-dimensional modified dispersive water-wave (MDWW)
equation by means of the WTC truncation method. Introducing proper
multiple valued functions and Jacobi elliptic functions in the seed
solution, special types of periodic folded waves are derived. In the
long wave limit these periodic folded wave patterns may degenerate
into single localized folded solitary wave excitations. The
interactions of the periodic folded waves and the degenerated
single folded solitary waves are investigated graphically and found
to 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. |
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| Authors: | Huang Wen-Hua |
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| Institution: | School of Science, Huzhou University, Huzhou 313000, China |
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| Abstract: | A general solution, including three arbitrary functions, is obtained
for a (2+1)-dimensional modified dispersive water-wave (MDWW)
equation by means of the WTC truncation method. Introducing proper
multiple valued functions and Jacobi elliptic functions in the seed
solution, special types of periodic folded waves are derived. In the
long wave limit these periodic folded wave patterns may degenerate
into single localized folded solitary wave excitations. The
interactions of the periodic folded waves and the degenerated
single folded solitary waves are investigated graphically and found
to be completely elastic. |
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| Keywords: | modified dispersive water-wave
equation WTC truncation method periodic folded wave |
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