| (2+1)维 Korteweg-de Vries 方程的传播孤子及混沌行为 |
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| 引用本文： | 吴红玉,马松华,方建平. (2+1)维 Korteweg-de Vries 方程的传播孤子及混沌行为[J]. 海洋学报, 2010, 32(10): 6719-6724 |
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| 作者姓名： | 吴红玉 马松华 方建平 |
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| 作者单位： | 浙江丽水学院物理系,丽水 323000;浙江丽水学院物理系,丽水 323000;浙江丽水学院物理系,丽水 323000 |
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| 基金项目： | 浙江省自然科学基金(批准号:Y 604106,Y6100257)和浙江丽水学院自然科学基金(批准号:KZ09005)资助的课题. |
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| 摘 要： | 利用一个投射方程和变量分离法,得到了(2+1)维 Korteweg-de Vries (KdV) 方程的新显式精确解.根据得到的孤立波解,构造出 KdV 方程的传播孤子结构. 利用一个新的混沌系统研究了孤子的混沌行为.
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| 关 键 词： | 投射方程 Korteweg-de Vries 方程 传播孤子 混沌行为 |
| 修稿时间： | 2010-01-04 |
Propagating solitons and chaotic behaviour of (2+1)-dimensional Korteweg-de Vries system |
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| Wu Hong-Yu,Ma Song-Hua and Fang Jian-Ping. Propagating solitons and chaotic behaviour of (2+1)-dimensional Korteweg-de Vries system[J]. Acta Oceanologica Sinica (in Chinese), 2010, 32(10): 6719-6724 |
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| Authors: | Wu Hong-Yu Ma Song-Hua Fang Jian-Ping |
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| Affiliation: | Department of Physics,Zhejiang Lishui College,Lishui 323000,China;Department of Physics,Zhejiang Lishui College,Lishui 323000,China;Department of Physics,Zhejiang Lishui College,Lishui 323000,China |
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| Abstract: | With a projective equation and a linear variable separation method, new exact solutions of the (2+1)-dimensional Korteweg-de Vries system(KdV) is derived. Based on the derived solitary wave excitation, we obtain the propagating solitons and study the chaotic behaviours with a new chaotic system. |
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| Keywords: | projective equation Korteweg-de Vries system propagating soliton chaotic behaviours |
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