| New Exact Solutions to （2＋1）-Dimensional Variable Coefficients Broer-Kaup Equations |
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| 引用本文： | ZHU Jia-Min MA Zheng-Yi. New Exact Solutions to （2＋1）-Dimensional Variable Coefficients Broer-Kaup Equations[J]. 理论物理通讯, 2006, 46(3): 393-396 |
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| 作者姓名： | ZHU Jia-Min MA Zheng-Yi |
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| 作者单位： | [1]Department of Physics, Zhejiang Lishui University, Lishui 323000, China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China undcr Grant No. 10172056 . |
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| 摘 要： | In this paper, using the variable coefficient generalized projected Rieatti equation expansion method, we present explicit solutions of the （2＋1）-dimensional variable coefficients Broer-Kaup （VCBK） equations. These solutions include Weierstrass function solution, solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time. Because of the three or four arbitrary functions, rich localized excitations can be found.
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| 关 键 词： | 变量系数广义投影Ricatti方程法 （2＋1）维变量系数Broer-Kaup方程 Weierstrass函数解 孤波解 三角函数解 |
| 收稿时间： | 2005-11-23 |
| 修稿时间： | 2005-11-23 |
New Exact Solutions to (2+1)-Dimensional Variable CoefficientsBroer-Kaup Equations |
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| ZHU Jia-Min,MA Zheng-Yi. New Exact Solutions to (2+1)-Dimensional Variable CoefficientsBroer-Kaup Equations[J]. Communications in Theoretical Physics, 2006, 46(3): 393-396 |
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| Authors: | ZHU Jia-Min MA Zheng-Yi |
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| Affiliation: | 1. Department of Physics, Zhejiang Lishui University, Lishui 323000, China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China |
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| Abstract: | In this paper, using the variable coefficient generalizedprojected Ricatti equation expansion method, we present explicitsolutions of the (2+1)-dimensional variable coefficientsBroer-Kaup (VCBK) equations. These solutions include Weierstrassfunction solution, solitary wave solutions, soliton-likesolutions and trigonometric function solutions. Among these solutions,some are found for the first time. Because of the three or fourarbitrary functions, rich localized excitations can be found. |
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| Keywords: | (2+1)-dimensional variable coefficients Broer-Kaup equations Weierstrass function solution solitary wave solution trigonometric function solution |
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