| Objective Reduction Solutions to Higher-Order Boussinesq System in （2＋1）-Dimensions |
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| 引用本文： | HU Ya-Hong,ZHENG Chun-Long. Objective Reduction Solutions to Higher-Order Boussinesq System in （2＋1）-Dimensions[J]. 理论物理通讯, 2009, 51(1): 47-52 |
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| 作者姓名： | HU Ya-Hong ZHENG Chun-Long |
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| 作者单位： | [1]College of Mathematics and Physics, Lishui University, Lishui Zhejiang 323000, China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| 基金项目： | The project supported by the Natural Science Foundation of Zhejiang Province under Grant Nos. Y604106 and Y606181, the Foundation of New Century ＂151 Talent Engineering＂ of Zhejiang Province, the Scientific Research Foundation of Key Discipline of Zhejiang Province, and the Natural Science Foundation of Zhejiang Lishui University under Grant No. KZ06002 The authors would like to thank Profs. J.F. Zhang, J.P. Fang, and H.P. Zhu, and Drs. Z.Y. Ma and W.H. Huang for their helpful and fruitful discussions. |
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| 摘 要： | With the help of an objective reduction approach （ORA）, abundant exact solutions of （2＋1）-dimensional higher-order Boussinesq system （including some hyperboloid function solutions, trigonometric function solutions, and a rational function solution） are obtained. It is shown that some novel soliton structures, like single linearity soliton structure, breath soliton structure, single linearity y-periodic solitary wave structure, libration dromion structure, and kink-like multisoliton structure with actual physical meaning exist in the （2＋1）-dimensional higher-order Boussinesq system.
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| 关 键 词： | 系统 水波 高阶 dromion 孤子结构 三角函数解 物理意义 精确解 |
Objective Reduction Solutions to Higher-Order Boussinesq System in (2+1)-Dimensions |
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| HU Ya-Hong ZHENG Chun-Long. Objective Reduction Solutions to Higher-Order Boussinesq System in (2+1)-Dimensions[J]. Communications in Theoretical Physics, 2009, 51(1): 47-52 |
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| Authors: | HU Ya-Hong ZHENG Chun-Long |
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| Affiliation: | [1]College of Mathematics and Physics, Lishui University, Lishui Zhejiang 323000, China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | objective reduction approach, higher-order Boussinesq, exact solution, localized excitation |
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| Keywords: | objective reduction approach higher-order Boussinesq exact solution localized excitation |
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