| Fractal localized structures related to Jacobian elliptic functions in the higher-order Broer－Kaup system |
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| 作者姓名： | 马正义 朱加民 郑春龙 |
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| 作者单位： | (1)Department of Physics and Mathematics, Lishui University, Lishui 323000, China; (2)Department of Physics and Mathematics, Lishui University, Lishui 323000, China; Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| 基金项目： | Project supported by the Foundation of ‘151 Talent Engineering' of Zhengjiang Province, China and by the National Natural Science Foundation of China (Grant No 10172056). |
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| 摘 要： | This work reveals a novel phenomenon—that the localized coherent structures of a (2﹢1)﹣dimensional physical model possesses fractal behaviours. To clarify the interesting phenomenon, we take the (2﹢1)﹣dimensional higher-order Broer－Kaup system as a concrete example. Starting from a B?cklund transformation, we obtain a linear equation, and then a general solution of the system is derived. From this some special localized excitations with fractal behaviours are obtained by introducing some types of lower-dimensional fractal patterns that related to Jacobian elliptic functions.
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| 关 键 词： | higher-order Broer－Kaup system B?cklund transformation variable separation approach Jacobian elliptic function fractal |
| 收稿时间： | 2003-12-22 |
| 修稿时间： | 2004-04-06 |
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