| Complexiton solutions of the （2＋1）-dimensional dispersive long wave equation |
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| 引用本文： | 陈勇,范恩贵. Complexiton solutions of the （2＋1）-dimensional dispersive long wave equation[J]. 中国物理, 2007, 16(1): 6-15. DOI: 10.1088/1009-1963/16/1/002 |
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| 作者姓名： | 陈勇 范恩贵 |
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| 作者单位： | (1)Institute of Mathematics, Fudan University, Shanghai 200433, China; (2)Nonlinear Science Center and Department of Mathematics, Ningbo University,Ningbo 315211, China;Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | Project supported by ChinaPostdoctoral Science Foundation, Natural Science Foundation ofZhejiang Province of China (Grant No Y604056)and Ningbo Doctoral Foundation of China (Grant No 2005A610030). |
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| 摘 要： | In this pager a pure algebraic method implemented in a computeralgebraic system, named multiple Riccati equations rationalexpansion method, is presented to construct a novel class ofcomplexiton solutions to integrable equations and nonintegrableequations. By solving the (2+1)-dimensional dispersive long waveequation, it obtains many new types of complexiton solutions such asvarious combination of trigonometric periodic and hyperbolicfunction solutions, various combination of trigonometric periodicand rational function solutions, various combination of hyperbolicand rational function solutions, etc.
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| 关 键 词： | （2＋1）维分散长波方程 不可积方程 解法 多重等式理性展开法 |
| 收稿时间： | 2005-09-12 |
| 修稿时间： | 2005-09-122006-05-31 |
Complexiton solutions of the (2+1)-dimensional dispersive long wave equation |
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| Chen Yong and Fan En-Gui. Complexiton solutions of the (2+1)-dimensional dispersive long wave equation[J]. Chinese Physics, 2007, 16(1): 6-15. DOI: 10.1088/1009-1963/16/1/002 |
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| Authors: | Chen Yong and Fan En-Gui |
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| Affiliation: | Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China; Institute of Mathematics, Fudan University, Shanghai 200433, China;Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | In this pager a pure algebraic method implemented in a computeralgebraic system, named multiple Riccati equations rationalexpansion method, is presented to construct a novel class ofcomplexiton solutions to integrable equations and nonintegrableequations. By solving the (2+1)-dimensional dispersive long waveequation, it obtains many new types of complexiton solutions such asvarious combination of trigonometric periodic and hyperbolicfunction solutions, various combination of trigonometric periodicand rational function solutions, various combination of hyperbolicand rational function solutions, etc. |
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| Keywords: | multiple Riccati equations rational expansion method complexiton solution |
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