| Soliton solution and interaction property for a coupled modified Korteweg-de Vries （mKdV） system |
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| 引用本文： | 杨建荣,毛杰健. Soliton solution and interaction property for a coupled modified Korteweg-de Vries （mKdV） system[J]. 中国物理 B, 2008, 17(12): 4337-4343 |
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| 作者姓名： | 杨建荣 毛杰健 |
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| 作者单位： | Department of Physics and Electronics, Shangrao Normal University, Shangrao 334001, China;Department of Physics and Electronics, Shangrao NormalUniversity,Shangrao 334001, China |
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| 基金项目： | The authors are indebted to Professor Lou S Y for his instruction, and Drs Jia M and Li J H for their help. |
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| 摘 要： | Hirota＇s bilinear direct method is applied to constructing soliton solutions to a special coupled modified Korteweg- de Vries （mKdV） system. Some physical properties such as the spatiotemporal evolution, waveform structure, interactive phenomena of solitons are discussed, especially in the two-soliton case. It is found that different interactive behaviours of solitary waves take place under different parameter conditions of overtaking collision in this system. It is verified that the elastic interaction phenomena exist in this （1＋1）-dimensional integrable coupled model.
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| 关 键 词： | 孤立子 原子核物理学 双线性 方法 |
| 收稿时间： | 2007-06-25 |
Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system |
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| Yang Jian-Rong and Mao Jie-Jian. Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system[J]. Chinese Physics B, 2008, 17(12): 4337-4343 |
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| Authors: | Yang Jian-Rong and Mao Jie-Jian |
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| Affiliation: | Department of Physics and Electronics, Shangrao Normal University, Shangrao 334001, China; Department of Physics and Electronics, Shangrao NormalUniversity,Shangrao 334001, China |
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| Abstract: | The Hirota's bilinear direct method is applied to constructingsoliton solutions to a special coupled modified Korteweg-de Vries(mKdV) system. Some physical properties such as the spatiotemporalevolution, waveform structure, interactive phenomena of solitons arediscussed, especially in the two-soliton case. It is found thatdifferent interactive behaviours of solitary waves take place underdifferent parameter conditions of overtaking collision in thissystem. It is verified that the elastic interaction phenomena existin this (1+1)-dimensional integrable coupled model. |
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| Keywords: | coupled mKdV system Hirota'sbilinear method soliton solution elastic interaction |
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