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| New localized excitations in a (2+1)-dimensional Broer—Kaup system | |
| 引用本文： | 白成林,刘希强,赵红. New localized excitations in a (2+1)-dimensional Broer—Kaup system[J]. 中国物理, 2005, 14(2): 285-292 |
| 作者姓名： | 白成林 刘希强 赵红 |
| 作者单位： | Physics Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China;Mathematical Science School, Liaocheng University, Liaocheng 252059, China;Physics Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 60177009) and the Natural Science Foundation of Shandong Province (Grant No Q2003G01). |
| 摘 要： | Starting with the extended homogeneous balance method and a variable separation approach, a general variable separation solution of the Broer—Kaup system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, peakon and fractal localized solutions, some new types of localized excitations, such as compacton and folded excitations, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple-valued functions, and some interesting novel features of these structures are revealed. |
| 关 键 词： | extended homogeneous balance method variable separation approach localized excita tions (2+1)-dimensional Broer—Kaup system |
| 收稿时间： | 2004-02-23 |
New localized excitations in a (2+1)-dimensional Broer—Kaup system |
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| Bai Cheng-Lin,Liu Xi-Qiang and Zhao Hong. New localized excitations in a (2+1)-dimensional Broer—Kaup system[J]. Chinese Physics, 2005, 14(2): 285-292 | |
| Authors: | Bai Cheng-Lin Liu Xi-Qiang Zhao Hong |
| Affiliation: | Mathematical Science School, Liaocheng University, Liaocheng 252059, China; Physics Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China |
| Abstract: | Starting with the extended homogeneous balance method and a variable separation approach, a general variable separation solution of the Broer—Kaup system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, peakon and fractal localized solutions, some new types of localized excitations, such as compacton and folded excitations, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple-valued functions, and some interesting novel features of these structures are revealed. |
| Keywords: | extended homogeneous balance method variable separation approach localized excita tions (2+1)-dimensional Broer—Kaup system |
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