| Evolutional Properties of Localized Excitations for Generalized Broer-Kaup System in （2＋1） Dimensions |
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| 引用本文： | ZHENG Chun-Long YE Jian-Feng XU Yuan. Evolutional Properties of Localized Excitations for Generalized Broer-Kaup System in （2＋1） Dimensions[J]. 理论物理通讯, 2006, 46(3): 461-466 |
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| 作者姓名： | ZHENG Chun-Long YE Jian-Feng XU Yuan |
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| 作者单位： | [1]College of Mathematics and Physics, Lishui University, Lishui 323000, China [2]Basic Department, Guangsha College of Applied Construction Technology, Dongyang 321006, China [3]Department of Information Engineering, Lishui College of Professional Technology, Lishui 323000, China |
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| 基金项目： | The project supported by the Natural Science Foundation of Zhejiang Province of China under Grant No. Y604106, the Foundation of ＂New Century 151 Talent Engineering＂ of Zhejiang Province, and the Key Academic Discipline Foundation of Zhejiang Province .The authors would like to thank Profs. J.F. Zhang, L.Q. Chen, and J.P. Fang for their fruitful discussions. |
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| 摘 要： | Using a special Painleve-Baecklund transformation as well as the extended mapping approach and the linear superposition theorem, we obtain new families of variable separation solutions to the （2＋1）-dimensional generalized Broer-Kaup （GBK） system. Based on the derived exact solution, we reveal some novel evolutional behaviors of localized excitations, i.e. fission and fusion phenomena in the （2＋1）-dimensional GBK system.
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| 关 键 词： | GBK系统 变量分离解 局部激发 裂变 聚变 |
| 收稿时间： | 2005-12-05 |
| 修稿时间： | 2005-12-05 |
Evolutional Properties of Localized Excitationsfor Generalized Broer-Kaup System in (2+1) Dimensions |
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| ZHENG Chun-Long,YE Jian-Feng,XU Yuan. Evolutional Properties of Localized Excitationsfor Generalized Broer-Kaup System in (2+1) Dimensions[J]. Communications in Theoretical Physics, 2006, 46(3): 461-466 |
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| Authors: | ZHENG Chun-Long YE Jian-Feng XU Yuan |
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| Affiliation: | 1. College of Mathematics and Physics, Lishui University, Lishui 323000, China;2. Basic Department, Guangsha College of Applied Construction Technology, Dongyang 321006, China;3. Department of Information Engineering,Lishui College of Professional Technology, Lishui 323000, China |
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| Abstract: | Using a special Painlevé-Bäcklund transformation as well as the extended mapping approach and the linear superposition theorem, we obtain new families of variable separation solutions to the (2+1)-dimensional generalized Broer-Kaup (GBK) system. Based on the derived exact solution, we reveal some novel evolutionalbehaviors of localized excitations, i.e. fission and fusion phenomenain the (2+1)-dimensional GBK system. |
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| Keywords: | GBK system variable separation solution localized excitation fission fusion |
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